diff --git a/docs/conf.py b/docs/conf.py
index 2c621bf4..c6b9ac7d 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -82,7 +82,10 @@
 assert PythonDomain.object_types["data"].roles == ("data", "obj")
 PythonDomain.object_types["data"].roles = ("data", "class", "obj")
 
-intersphinx_mapping = {"python": ("https://docs.python.org/3", None)}
+intersphinx_mapping = {
+    "python": ("https://docs.python.org/3", None),
+    "werkzeug": ("https://werkzeug.palletsprojects.com/en/stable/", None),
+}
 
 spelling_show_suggestions = True
 
diff --git a/docs/faq/client.rst b/docs/faq/client.rst
index d3f62768..c39e588c 100644
--- a/docs/faq/client.rst
+++ b/docs/faq/client.rst
@@ -81,7 +81,7 @@ The connection is closed when exiting the context manager.
 How do I reconnect when the connection drops?
 ---------------------------------------------
 
-Use :func:`~websockets.asyncio.client.connect` as an asynchronous iterator::
+Use :func:`connect` as an asynchronous iterator::
 
     from websockets.asyncio.client import connect
     from websockets.exceptions import ConnectionClosed
diff --git a/docs/faq/server.rst b/docs/faq/server.rst
index e6a3abe8..d00dcafb 100644
--- a/docs/faq/server.rst
+++ b/docs/faq/server.rst
@@ -116,7 +116,7 @@ Record all connections in a global variable::
         finally:
             CONNECTIONS.remove(websocket)
 
-Then, call :func:`~websockets.asyncio.server.broadcast`::
+Then, call :func:`broadcast`::
 
     from websockets.asyncio.server import broadcast
 
@@ -219,6 +219,8 @@ You may route a connection to different handlers depending on the request path::
             # No handler for this path; close the connection.
             return
 
+For more complex routing, you may use :func:`~websockets.asyncio.router.route`.
+
 You may also route the connection based on the first message received from the
 client, as shown in the :doc:`tutorial <../intro/tutorial2>`. When you want to
 authenticate the connection before routing it, this is usually more convenient.
diff --git a/docs/project/changelog.rst b/docs/project/changelog.rst
index 1f02a6cd..d7db6167 100644
--- a/docs/project/changelog.rst
+++ b/docs/project/changelog.rst
@@ -56,6 +56,12 @@ Backwards-incompatible changes
 
     See :doc:`keepalive and latency <../topics/keepalive>` for details.
 
+New features
+............
+
+* Added :func:`~asyncio.router.route` and :func:`~asyncio.router.unix_route` to
+  dispatch connections to different handlers depending on the URL.
+
 Improvements
 ............
 
diff --git a/docs/reference/asyncio/server.rst b/docs/reference/asyncio/server.rst
index 49bd6f07..8d8b700f 100644
--- a/docs/reference/asyncio/server.rst
+++ b/docs/reference/asyncio/server.rst
@@ -12,6 +12,21 @@ Creating a server
 .. autofunction:: unix_serve
     :async:
 
+Routing connections
+-------------------
+
+.. automodule:: websockets.asyncio.router
+
+.. autofunction:: route
+    :async:
+
+.. autofunction:: unix_route
+    :async:
+
+.. autoclass:: Router
+
+.. currentmodule:: websockets.asyncio.server
+
 Running a server
 ----------------
 
@@ -89,7 +104,7 @@ Using a connection
 Broadcast
 ---------
 
-.. autofunction:: websockets.asyncio.server.broadcast
+.. autofunction:: broadcast
 
 HTTP Basic Authentication
 -------------------------
@@ -97,4 +112,4 @@ HTTP Basic Authentication
 websockets supports HTTP Basic Authentication according to
 :rfc:`7235` and :rfc:`7617`.
 
-.. autofunction:: websockets.asyncio.server.basic_auth
+.. autofunction:: basic_auth
diff --git a/docs/reference/features.rst b/docs/reference/features.rst
index 93b083d2..0da966cc 100644
--- a/docs/reference/features.rst
+++ b/docs/reference/features.rst
@@ -127,6 +127,8 @@ Server
     +------------------------------------+--------+--------+--------+--------+
     | Perform HTTP Digest Authentication | ❌     | ❌     | ❌     | ❌     |
     +------------------------------------+--------+--------+--------+--------+
+    | Dispatch connections to handlers   | ✅     | ✅     | —      | ❌     |
+    +------------------------------------+--------+--------+--------+--------+
 
 Client
 ------
diff --git a/docs/reference/sync/server.rst b/docs/reference/sync/server.rst
index c3d0e8f2..f6a45a65 100644
--- a/docs/reference/sync/server.rst
+++ b/docs/reference/sync/server.rst
@@ -10,6 +10,31 @@ Creating a server
 
 .. autofunction:: unix_serve
 
+Routing connections
+-------------------
+
+.. automodule:: websockets.sync.router
+
+.. autofunction:: route
+
+.. autofunction:: unix_route
+
+.. autoclass:: Router
+
+.. currentmodule:: websockets.sync.server
+
+Routing connections
+-------------------
+
+.. autofunction:: route
+    :async:
+
+.. autofunction:: unix_route
+    :async:
+
+.. autoclass:: Server
+
+
 Running a server
 ----------------
 
@@ -78,4 +103,4 @@ HTTP Basic Authentication
 websockets supports HTTP Basic Authentication according to
 :rfc:`7235` and :rfc:`7617`.
 
-.. autofunction:: websockets.sync.server.basic_auth
+.. autofunction:: basic_auth
diff --git a/docs/requirements.txt b/docs/requirements.txt
index bcd1d711..77c87f4d 100644
--- a/docs/requirements.txt
+++ b/docs/requirements.txt
@@ -6,3 +6,4 @@ sphinx-inline-tabs
 sphinxcontrib-spelling
 sphinxcontrib-trio
 sphinxext-opengraph
+werkzeug
diff --git a/src/websockets/__init__.py b/src/websockets/__init__.py
index 28a10910..f90aff5b 100644
--- a/src/websockets/__init__.py
+++ b/src/websockets/__init__.py
@@ -12,6 +12,10 @@
     "connect",
     "unix_connect",
     "ClientConnection",
+    # .asyncio.router
+    "route",
+    "unix_route",
+    "Router",
     # .asyncio.server
     "basic_auth",
     "broadcast",
@@ -79,6 +83,7 @@
 # When type checking, import non-deprecated aliases eagerly. Else, import on demand.
 if TYPE_CHECKING:
     from .asyncio.client import ClientConnection, connect, unix_connect
+    from .asyncio.router import Router, route, unix_route
     from .asyncio.server import (
         Server,
         ServerConnection,
@@ -138,6 +143,10 @@
             "connect": ".asyncio.client",
             "unix_connect": ".asyncio.client",
             "ClientConnection": ".asyncio.client",
+            # .asyncio.router
+            "route": ".asyncio.router",
+            "unix_route": ".asyncio.router",
+            "Router": ".asyncio.router",
             # .asyncio.server
             "basic_auth": ".asyncio.server",
             "broadcast": ".asyncio.server",
diff --git a/src/websockets/asyncio/router.py b/src/websockets/asyncio/router.py
new file mode 100644
index 00000000..cd95022c
--- /dev/null
+++ b/src/websockets/asyncio/router.py
@@ -0,0 +1,196 @@
+from __future__ import annotations
+
+import http
+import ssl as ssl_module
+import urllib.parse
+from typing import Any, Awaitable, Callable, Literal
+
+from werkzeug.exceptions import NotFound
+from werkzeug.routing import Map, RequestRedirect
+
+from ..http11 import Request, Response
+from .server import Server, ServerConnection, serve
+
+
+__all__ = ["route", "unix_route", "Router"]
+
+
+class Router:
+    """WebSocket router supporting :func:`route`."""
+
+    def __init__(
+        self,
+        url_map: Map,
+        server_name: str | None = None,
+        url_scheme: str = "ws",
+    ) -> None:
+        self.url_map = url_map
+        self.server_name = server_name
+        self.url_scheme = url_scheme
+        for rule in self.url_map.iter_rules():
+            rule.websocket = True
+
+    def get_server_name(self, connection: ServerConnection, request: Request) -> str:
+        if self.server_name is None:
+            return request.headers["Host"]
+        else:
+            return self.server_name
+
+    def redirect(self, connection: ServerConnection, url: str) -> Response:
+        response = connection.respond(http.HTTPStatus.FOUND, f"Found at {url}")
+        response.headers["Location"] = url
+        return response
+
+    def not_found(self, connection: ServerConnection) -> Response:
+        return connection.respond(http.HTTPStatus.NOT_FOUND, "Not Found")
+
+    def route_request(
+        self, connection: ServerConnection, request: Request
+    ) -> Response | None:
+        """Route incoming request."""
+        url_map_adapter = self.url_map.bind(
+            server_name=self.get_server_name(connection, request),
+            url_scheme=self.url_scheme,
+        )
+        try:
+            parsed = urllib.parse.urlparse(request.path)
+            handler, kwargs = url_map_adapter.match(
+                path_info=parsed.path,
+                query_args=parsed.query,
+            )
+        except RequestRedirect as redirect:
+            return self.redirect(connection, redirect.new_url)
+        except NotFound:
+            return self.not_found(connection)
+        connection.handler, connection.handler_kwargs = handler, kwargs
+        return None
+
+    async def handler(self, connection: ServerConnection) -> None:
+        """Handle a connection."""
+        return await connection.handler(connection, **connection.handler_kwargs)
+
+
+def route(
+    url_map: Map,
+    *args: Any,
+    server_name: str | None = None,
+    ssl: ssl_module.SSLContext | Literal[True] | None = None,
+    create_router: type[Router] | None = None,
+    **kwargs: Any,
+) -> Awaitable[Server]:
+    """
+    Create a WebSocket server dispatching connections to different handlers.
+
+    This feature requires the third-party library `werkzeug`_::
+
+        $ pip install werkzeug
+
+    .. _werkzeug: https://werkzeug.palletsprojects.com/
+
+    :func:`route` accepts the same arguments as
+    :func:`~websockets.sync.server.serve`, except as described below.
+
+    The first argument is a :class:`werkzeug.routing.Map` that maps URL patterns
+    to connection handlers. In addition to the connection, handlers receive
+    parameters captured in the URL as keyword arguments.
+
+    Here's an example::
+
+
+        from websockets.asyncio.router import route
+        from werkzeug.routing import Map, Rule
+
+        async def channel_handler(websocket, channel_id):
+            ...
+
+        url_map = Map([
+            Rule("/channel/<uuid:channel_id>", endpoint=channel_handler),
+            ...
+        ])
+
+        # set this future to exit the server
+        stop = asyncio.get_running_loop().create_future()
+
+        async with route(url_map, ...) as server:
+            await stop
+
+
+    Refer to the documentation of :mod:`werkzeug.routing` for details.
+
+    If you define redirects with ``Rule(..., redirect_to=...)`` in the URL map,
+    when the server runs behind a reverse proxy that modifies the ``Host``
+    header or terminates TLS, you need additional configuration:
+
+    * Set ``server_name`` to the name of the server as seen by clients. When not
+      provided, websockets uses the value of the ``Host`` header.
+
+    * Set ``ssl=True`` to generate ``wss://`` URIs without actually enabling
+      TLS. Under the hood, this bind the URL map with a ``url_scheme`` of
+      ``wss://`` instead of ``ws://``.
+
+    There is no need to specify ``websocket=True`` in each rule. It is added
+    automatically.
+
+    Args:
+        url_map: Mapping of URL patterns to connection handlers.
+        server_name: Name of the server as seen by clients. If :obj:`None`,
+            websockets uses the value of the ``Host`` header.
+        ssl: Configuration for enabling TLS on the connection. Set it to
+            :obj:`True` if a reverse proxy terminates TLS connections.
+        create_router: Factory for the :class:`Router` dispatching requests to
+            handlers. Set it to a wrapper or a subclass to customize routing.
+
+    """
+    url_scheme = "ws" if ssl is None else "wss"
+    if ssl is not True and ssl is not None:
+        kwargs["ssl"] = ssl
+
+    if create_router is None:
+        create_router = Router
+
+    router = create_router(url_map, server_name, url_scheme)
+
+    _process_request: (
+        Callable[
+            [ServerConnection, Request],
+            Awaitable[Response | None] | Response | None,
+        ]
+        | None
+    ) = kwargs.pop("process_request", None)
+    if _process_request is None:
+        process_request: Callable[
+            [ServerConnection, Request],
+            Awaitable[Response | None] | Response | None,
+        ] = router.route_request
+    else:
+
+        async def process_request(
+            connection: ServerConnection, request: Request
+        ) -> Response | None:
+            response = _process_request(connection, request)
+            if isinstance(response, Awaitable):
+                response = await response
+            if response is not None:
+                return response
+            return router.route_request(connection, request)
+
+    return serve(router.handler, *args, process_request=process_request, **kwargs)
+
+
+def unix_route(
+    url_map: Map,
+    path: str | None = None,
+    **kwargs: Any,
+) -> Awaitable[Server]:
+    """
+    Create a WebSocket Unix server dispatching connections to different handlers.
+
+    :func:`unix_route` combines the behaviors of :func:`route` and
+    :func:`~websockets.asyncio.server.unix_serve`.
+
+    Args:
+        url_map: Mapping of URL patterns to connection handlers.
+        path: File system path to the Unix socket.
+
+    """
+    return route(url_map, unix=True, path=path, **kwargs)
diff --git a/src/websockets/asyncio/server.py b/src/websockets/asyncio/server.py
index 2e2b7878..ec7fc438 100644
--- a/src/websockets/asyncio/server.py
+++ b/src/websockets/asyncio/server.py
@@ -9,7 +9,7 @@
 import sys
 from collections.abc import Awaitable, Generator, Iterable, Sequence
 from types import TracebackType
-from typing import Any, Callable, cast
+from typing import Any, Callable, Mapping, cast
 
 from ..exceptions import InvalidHeader
 from ..extensions.base import ServerExtensionFactory
@@ -87,6 +87,8 @@ def __init__(
         self.server = server
         self.request_rcvd: asyncio.Future[None] = self.loop.create_future()
         self.username: str  # see basic_auth()
+        self.handler: Callable[[ServerConnection], Awaitable[None]]  # see route()
+        self.handler_kwargs: Mapping[str, Any]  # see route()
 
     def respond(self, status: StatusLike, text: str) -> Response:
         """
diff --git a/src/websockets/sync/router.py b/src/websockets/sync/router.py
new file mode 100644
index 00000000..33105bf3
--- /dev/null
+++ b/src/websockets/sync/router.py
@@ -0,0 +1,190 @@
+from __future__ import annotations
+
+import http
+import ssl as ssl_module
+import urllib.parse
+from typing import Any, Callable, Literal
+
+from werkzeug.exceptions import NotFound
+from werkzeug.routing import Map, RequestRedirect
+
+from ..http11 import Request, Response
+from .server import Server, ServerConnection, serve
+
+
+__all__ = ["route", "unix_route", "Router"]
+
+
+class Router:
+    """WebSocket router supporting :func:`route`."""
+
+    def __init__(
+        self,
+        url_map: Map,
+        server_name: str | None = None,
+        url_scheme: str = "ws",
+    ) -> None:
+        self.url_map = url_map
+        self.server_name = server_name
+        self.url_scheme = url_scheme
+        for rule in self.url_map.iter_rules():
+            rule.websocket = True
+
+    def get_server_name(self, connection: ServerConnection, request: Request) -> str:
+        if self.server_name is None:
+            return request.headers["Host"]
+        else:
+            return self.server_name
+
+    def redirect(self, connection: ServerConnection, url: str) -> Response:
+        response = connection.respond(http.HTTPStatus.FOUND, f"Found at {url}")
+        response.headers["Location"] = url
+        return response
+
+    def not_found(self, connection: ServerConnection) -> Response:
+        return connection.respond(http.HTTPStatus.NOT_FOUND, "Not Found")
+
+    def route_request(
+        self, connection: ServerConnection, request: Request
+    ) -> Response | None:
+        """Route incoming request."""
+        url_map_adapter = self.url_map.bind(
+            server_name=self.get_server_name(connection, request),
+            url_scheme=self.url_scheme,
+        )
+        try:
+            parsed = urllib.parse.urlparse(request.path)
+            handler, kwargs = url_map_adapter.match(
+                path_info=parsed.path,
+                query_args=parsed.query,
+            )
+        except RequestRedirect as redirect:
+            return self.redirect(connection, redirect.new_url)
+        except NotFound:
+            return self.not_found(connection)
+        connection.handler, connection.handler_kwargs = handler, kwargs
+        return None
+
+    def handler(self, connection: ServerConnection) -> None:
+        """Handle a connection."""
+        return connection.handler(connection, **connection.handler_kwargs)
+
+
+def route(
+    url_map: Map,
+    *args: Any,
+    server_name: str | None = None,
+    ssl: ssl_module.SSLContext | Literal[True] | None = None,
+    create_router: type[Router] | None = None,
+    **kwargs: Any,
+) -> Server:
+    """
+    Create a WebSocket server dispatching connections to different handlers.
+
+    This feature requires the third-party library `werkzeug`_::
+
+        $ pip install werkzeug
+
+    .. _werkzeug: https://werkzeug.palletsprojects.com/
+
+    :func:`route` accepts the same arguments as
+    :func:`~websockets.sync.server.serve`, except as described below.
+
+    The first argument is a :class:`werkzeug.routing.Map` that maps URL patterns
+    to connection handlers. In addition to the connection, handlers receive
+    parameters captured in the URL as keyword arguments.
+
+    Here's an example::
+
+
+        from websockets.sync.router import route
+        from werkzeug.routing import Map, Rule
+
+        def channel_handler(websocket, channel_id):
+            ...
+
+        url_map = Map([
+            Rule("/channel/<uuid:channel_id>", endpoint=channel_handler),
+            ...
+        ])
+
+        with route(url_map, ...) as server:
+            server.serve_forever()
+
+    Refer to the documentation of :mod:`werkzeug.routing` for details.
+
+    If you define redirects with ``Rule(..., redirect_to=...)`` in the URL map,
+    when the server runs behind a reverse proxy that modifies the ``Host``
+    header or terminates TLS, you need additional configuration:
+
+    * Set ``server_name`` to the name of the server as seen by clients. When not
+      provided, websockets uses the value of the ``Host`` header.
+
+    * Set ``ssl=True`` to generate ``wss://`` URIs without actually enabling
+      TLS. Under the hood, this bind the URL map with a ``url_scheme`` of
+      ``wss://`` instead of ``ws://``.
+
+    There is no need to specify ``websocket=True`` in each rule. It is added
+    automatically.
+
+    Args:
+        url_map: Mapping of URL patterns to connection handlers.
+        server_name: Name of the server as seen by clients. If :obj:`None`,
+            websockets uses the value of the ``Host`` header.
+        ssl: Configuration for enabling TLS on the connection. Set it to
+            :obj:`True` if a reverse proxy terminates TLS connections.
+        create_router: Factory for the :class:`Router` dispatching requests to
+            handlers. Set it to a wrapper or a subclass to customize routing.
+
+    """
+    url_scheme = "ws" if ssl is None else "wss"
+    if ssl is not True and ssl is not None:
+        kwargs["ssl"] = ssl
+
+    if create_router is None:
+        create_router = Router
+
+    router = create_router(url_map, server_name, url_scheme)
+
+    _process_request: (
+        Callable[
+            [ServerConnection, Request],
+            Response | None,
+        ]
+        | None
+    ) = kwargs.pop("process_request", None)
+    if _process_request is None:
+        process_request: Callable[
+            [ServerConnection, Request],
+            Response | None,
+        ] = router.route_request
+    else:
+
+        def process_request(
+            connection: ServerConnection, request: Request
+        ) -> Response | None:
+            response = _process_request(connection, request)
+            if response is not None:
+                return response
+            return router.route_request(connection, request)
+
+    return serve(router.handler, *args, process_request=process_request, **kwargs)
+
+
+def unix_route(
+    url_map: Map,
+    path: str | None = None,
+    **kwargs: Any,
+) -> Server:
+    """
+    Create a WebSocket Unix server dispatching connections to different handlers.
+
+    :func:`unix_route` combines the behaviors of :func:`route` and
+    :func:`~websockets.sync.server.unix_serve`.
+
+    Args:
+        url_map: Mapping of URL patterns to connection handlers.
+        path: File system path to the Unix socket.
+
+    """
+    return route(url_map, unix=True, path=path, **kwargs)
diff --git a/src/websockets/sync/server.py b/src/websockets/sync/server.py
index 10e3b681..efb40a7f 100644
--- a/src/websockets/sync/server.py
+++ b/src/websockets/sync/server.py
@@ -13,7 +13,7 @@
 import warnings
 from collections.abc import Iterable, Sequence
 from types import TracebackType
-from typing import Any, Callable, cast
+from typing import Any, Callable, Mapping, cast
 
 from ..exceptions import InvalidHeader
 from ..extensions.base import ServerExtensionFactory
@@ -82,6 +82,8 @@ def __init__(
             max_queue=max_queue,
         )
         self.username: str  # see basic_auth()
+        self.handler: Callable[[ServerConnection], None]  # see route()
+        self.handler_kwargs: Mapping[str, Any]  # see route()
 
     def respond(self, status: StatusLike, text: str) -> Response:
         """
diff --git a/tests/asyncio/server.py b/tests/asyncio/server.py
index acf6500c..b142bcd7 100644
--- a/tests/asyncio/server.py
+++ b/tests/asyncio/server.py
@@ -1,5 +1,6 @@
 import asyncio
 import socket
+import urllib.parse
 
 
 def get_host_port(server):
@@ -9,15 +10,16 @@ def get_host_port(server):
     raise AssertionError("expected at least one IPv4 socket")
 
 
-def get_uri(server):
-    secure = server.server._ssl_context is not None  # hack
+def get_uri(server, secure=None):
+    if secure is None:
+        secure = server.server._ssl_context is not None  # hack
     protocol = "wss" if secure else "ws"
     host, port = get_host_port(server)
     return f"{protocol}://{host}:{port}"
 
 
 async def handler(ws):
-    path = ws.request.path
+    path = urllib.parse.urlparse(ws.request.path).path
     if path == "/":
         # The default path is an eval shell.
         async for expr in ws:
diff --git a/tests/asyncio/test_router.py b/tests/asyncio/test_router.py
new file mode 100644
index 00000000..1426cc9f
--- /dev/null
+++ b/tests/asyncio/test_router.py
@@ -0,0 +1,198 @@
+import http
+import socket
+import sys
+import unittest
+from unittest.mock import patch
+
+from websockets.asyncio.client import connect, unix_connect
+from websockets.asyncio.router import *
+from websockets.exceptions import InvalidStatus
+
+from ..utils import CLIENT_CONTEXT, SERVER_CONTEXT, temp_unix_socket_path
+from .server import EvalShellMixin, get_uri, handler
+from .utils import alist
+
+
+try:
+    from werkzeug.routing import Map, Rule
+except ImportError:
+    pass
+
+
+async def echo(websocket, count):
+    message = await websocket.recv()
+    for _ in range(count):
+        await websocket.send(message)
+
+
+@unittest.skipUnless("werkzeug" in sys.modules, "werkzeug not installed")
+class RouterTests(EvalShellMixin, unittest.IsolatedAsyncioTestCase):
+    # This is a small realistic example of werkzeug's basic URL routing
+    # features: path matching, parameter extraction, and default values.
+
+    async def test_router_matches_paths_and_extracts_parameters(self):
+        """Router matches paths and extracts parameters."""
+        url_map = Map(
+            [
+                Rule("/echo", defaults={"count": 1}, endpoint=echo),
+                Rule("/echo/<int:count>", endpoint=echo),
+            ]
+        )
+        async with route(url_map, "localhost", 0) as server:
+            async with connect(get_uri(server) + "/echo") as client:
+                await client.send("hello")
+                messages = await alist(client)
+            self.assertEqual(messages, ["hello"])
+
+            async with connect(get_uri(server) + "/echo/3") as client:
+                await client.send("hello")
+                messages = await alist(client)
+            self.assertEqual(messages, ["hello", "hello", "hello"])
+
+    @property  # avoids an import-time dependency on werkzeug
+    def url_map(self):
+        return Map(
+            [
+                Rule("/", endpoint=handler),
+                Rule("/r", redirect_to="/"),
+            ]
+        )
+
+    async def test_route_with_query_string(self):
+        """Router ignores query strings when matching paths."""
+        async with route(self.url_map, "localhost", 0) as server:
+            async with connect(get_uri(server) + "/?a=b") as client:
+                await self.assertEval(client, "ws.request.path", "/?a=b")
+
+    async def test_redirect(self):
+        """Router redirects connections according to redirect_to."""
+        async with route(self.url_map, "localhost", 0) as server:
+            async with connect(get_uri(server) + "/r") as client:
+                await self.assertEval(client, "ws.request.path", "/")
+
+    async def test_secure_redirect(self):
+        """Router redirects connections to a wss:// URI when TLS is enabled."""
+        async with route(self.url_map, "localhost", 0, ssl=SERVER_CONTEXT) as server:
+            async with connect(get_uri(server) + "/r", ssl=CLIENT_CONTEXT) as client:
+                await self.assertEval(client, "ws.request.path", "/")
+
+    @patch("websockets.asyncio.client.connect.process_redirect", lambda _, exc: exc)
+    async def test_force_secure_redirect(self):
+        """Router redirects ws:// connections to a wss:// URI when ssl=True."""
+        async with route(self.url_map, "localhost", 0, ssl=True) as server:
+            redirect_uri = get_uri(server, secure=True)
+            with self.assertRaises(InvalidStatus) as raised:
+                async with connect(get_uri(server) + "/r"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            raised.exception.response.headers["Location"],
+            redirect_uri + "/",
+        )
+
+    @patch("websockets.asyncio.client.connect.process_redirect", lambda _, exc: exc)
+    async def test_force_redirect_server_name(self):
+        """Router redirects connections to the host declared in server_name."""
+        async with route(self.url_map, "localhost", 0, server_name="other") as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                async with connect(get_uri(server) + "/r"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            raised.exception.response.headers["Location"],
+            "ws://other/",
+        )
+
+    async def test_not_found(self):
+        """Router rejects requests to unknown paths with an HTTP 404 error."""
+        async with route(self.url_map, "localhost", 0) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                async with connect(get_uri(server) + "/n"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            str(raised.exception),
+            "server rejected WebSocket connection: HTTP 404",
+        )
+
+    async def test_process_request_function_returning_none(self):
+        """Router supports a process_request function returning None."""
+
+        def process_request(ws, request):
+            ws.process_request_ran = True
+
+        async with route(
+            self.url_map, "localhost", 0, process_request=process_request
+        ) as server:
+            async with connect(get_uri(server) + "/") as client:
+                await self.assertEval(client, "ws.process_request_ran", "True")
+
+    async def test_process_request_coroutine_returning_none(self):
+        """Router supports a process_request coroutine returning None."""
+
+        async def process_request(ws, request):
+            ws.process_request_ran = True
+
+        async with route(
+            self.url_map, "localhost", 0, process_request=process_request
+        ) as server:
+            async with connect(get_uri(server) + "/") as client:
+                await self.assertEval(client, "ws.process_request_ran", "True")
+
+    async def test_process_request_function_returning_response(self):
+        """Router supports a process_request function returning a response."""
+
+        def process_request(ws, request):
+            return ws.respond(http.HTTPStatus.FORBIDDEN, "Forbidden")
+
+        async with route(
+            self.url_map, "localhost", 0, process_request=process_request
+        ) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                async with connect(get_uri(server) + "/"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            str(raised.exception),
+            "server rejected WebSocket connection: HTTP 403",
+        )
+
+    async def test_process_request_coroutine_returning_response(self):
+        """Router supports a process_request coroutine returning a response."""
+
+        async def process_request(ws, request):
+            return ws.respond(http.HTTPStatus.FORBIDDEN, "Forbidden")
+
+        async with route(
+            self.url_map, "localhost", 0, process_request=process_request
+        ) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                async with connect(get_uri(server) + "/"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            str(raised.exception),
+            "server rejected WebSocket connection: HTTP 403",
+        )
+
+    async def test_custom_router_factory(self):
+        """Router supports a custom router factory."""
+
+        class MyRouter(Router):
+            async def handler(self, connection):
+                connection.my_router_ran = True
+                return await super().handler(connection)
+
+        async with route(
+            self.url_map, "localhost", 0, create_router=MyRouter
+        ) as server:
+            async with connect(get_uri(server)) as client:
+                await self.assertEval(client, "ws.my_router_ran", "True")
+
+
+@unittest.skipUnless(hasattr(socket, "AF_UNIX"), "this test requires Unix sockets")
+class UnixRouterTests(EvalShellMixin, unittest.IsolatedAsyncioTestCase):
+    async def test_router_supports_unix_sockets(self):
+        """Router supports Unix sockets."""
+        url_map = Map([Rule("/echo/<int:count>", endpoint=echo)])
+        with temp_unix_socket_path() as path:
+            async with unix_route(url_map, path):
+                async with unix_connect(path, "ws://localhost/echo/3") as client:
+                    await client.send("hello")
+                    messages = await alist(client)
+                self.assertEqual(messages, ["hello", "hello", "hello"])
diff --git a/tests/sync/server.py b/tests/sync/server.py
index fd7a03d8..cadaa267 100644
--- a/tests/sync/server.py
+++ b/tests/sync/server.py
@@ -1,19 +1,22 @@
 import contextlib
 import ssl
 import threading
+import urllib.parse
 
+from websockets.sync.router import *
 from websockets.sync.server import *
 
 
-def get_uri(server):
-    secure = isinstance(server.socket, ssl.SSLSocket)  # hack
+def get_uri(server, secure=None):
+    if secure is None:
+        secure = isinstance(server.socket, ssl.SSLSocket)  # hack
     protocol = "wss" if secure else "ws"
     host, port = server.socket.getsockname()
     return f"{protocol}://{host}:{port}"
 
 
 def handler(ws):
-    path = ws.request.path
+    path = urllib.parse.urlparse(ws.request.path).path
     if path == "/":
         # The default path is an eval shell.
         for expr in ws:
@@ -34,8 +37,14 @@ def assertEval(self, client, expr, value):
 
 
 @contextlib.contextmanager
-def run_server(handler=handler, host="localhost", port=0, **kwargs):
-    with serve(handler, host, port, **kwargs) as server:
+def run_server_or_router(
+    serve_or_route,
+    handler_or_url_map,
+    host="localhost",
+    port=0,
+    **kwargs,
+):
+    with serve_or_route(handler_or_url_map, host, port, **kwargs) as server:
         thread = threading.Thread(target=server.serve_forever)
         thread.start()
 
@@ -63,9 +72,22 @@ def handler(sock, addr):
                 handler_thread.join()
 
 
+def run_server(handler=handler, **kwargs):
+    return run_server_or_router(serve, handler, **kwargs)
+
+
+def run_router(url_map, **kwargs):
+    return run_server_or_router(route, url_map, **kwargs)
+
+
 @contextlib.contextmanager
-def run_unix_server(path, handler=handler, **kwargs):
-    with unix_serve(handler, path, **kwargs) as server:
+def run_unix_server_or_router(
+    path,
+    unix_serve_or_route,
+    handler_or_url_map,
+    **kwargs,
+):
+    with unix_serve_or_route(handler_or_url_map, path, **kwargs) as server:
         thread = threading.Thread(target=server.serve_forever)
         thread.start()
         try:
@@ -73,3 +95,11 @@ def run_unix_server(path, handler=handler, **kwargs):
         finally:
             server.shutdown()
             thread.join()
+
+
+def run_unix_server(path, handler=handler, **kwargs):
+    return run_unix_server_or_router(path, unix_serve, handler, **kwargs)
+
+
+def run_unix_router(path, url_map, **kwargs):
+    return run_unix_server_or_router(path, unix_route, url_map, **kwargs)
diff --git a/tests/sync/test_router.py b/tests/sync/test_router.py
new file mode 100644
index 00000000..07274e62
--- /dev/null
+++ b/tests/sync/test_router.py
@@ -0,0 +1,174 @@
+import http
+import socket
+import sys
+import unittest
+from unittest.mock import patch
+
+from websockets.exceptions import InvalidStatus
+from websockets.sync.client import connect, unix_connect
+from websockets.sync.router import *
+
+from ..utils import CLIENT_CONTEXT, SERVER_CONTEXT, temp_unix_socket_path
+from .server import EvalShellMixin, get_uri, handler, run_router, run_unix_router
+
+
+try:
+    from werkzeug.routing import Map, Rule
+except ImportError:
+    pass
+
+
+def echo(websocket, count):
+    message = websocket.recv()
+    for _ in range(count):
+        websocket.send(message)
+
+
+@unittest.skipUnless("werkzeug" in sys.modules, "werkzeug not installed")
+class RouterTests(EvalShellMixin, unittest.TestCase):
+    # This is a small realistic example of werkzeug's basic URL routing
+    # features: path matching, parameter extraction, and default values.
+
+    def test_router_matches_paths_and_extracts_parameters(self):
+        """Router matches paths and extracts parameters."""
+        url_map = Map(
+            [
+                Rule("/echo", defaults={"count": 1}, endpoint=echo),
+                Rule("/echo/<int:count>", endpoint=echo),
+            ]
+        )
+        with run_router(url_map) as server:
+            with connect(get_uri(server) + "/echo") as client:
+                client.send("hello")
+                messages = list(client)
+            self.assertEqual(messages, ["hello"])
+
+            with connect(get_uri(server) + "/echo/3") as client:
+                client.send("hello")
+                messages = list(client)
+            self.assertEqual(messages, ["hello", "hello", "hello"])
+
+    @property  # avoids an import-time dependency on werkzeug
+    def url_map(self):
+        return Map(
+            [
+                Rule("/", endpoint=handler),
+                Rule("/r", redirect_to="/"),
+            ]
+        )
+
+    def test_route_with_query_string(self):
+        """Router ignores query strings when matching paths."""
+        with run_router(self.url_map) as server:
+            with connect(get_uri(server) + "/?a=b") as client:
+                self.assertEval(client, "ws.request.path", "/?a=b")
+
+    def test_redirect(self):
+        """Router redirects connections according to redirect_to."""
+        with run_router(self.url_map, server_name="localhost") as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/r"):
+                    self.fail("did not raise")
+            self.assertEqual(
+                raised.exception.response.headers["Location"],
+                "ws://localhost/",
+            )
+
+    def test_secure_redirect(self):
+        """Router redirects connections to a wss:// URI when TLS is enabled."""
+        with run_router(
+            self.url_map, server_name="localhost", ssl=SERVER_CONTEXT
+        ) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/r", ssl=CLIENT_CONTEXT):
+                    self.fail("did not raise")
+            self.assertEqual(
+                raised.exception.response.headers["Location"],
+                "wss://localhost/",
+            )
+
+    @patch("websockets.asyncio.client.connect.process_redirect", lambda _, exc: exc)
+    def test_force_secure_redirect(self):
+        """Router redirects ws:// connections to a wss:// URI when ssl=True."""
+        with run_router(self.url_map, ssl=True) as server:
+            redirect_uri = get_uri(server, secure=True)
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/r"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            raised.exception.response.headers["Location"],
+            redirect_uri + "/",
+        )
+
+    @patch("websockets.asyncio.client.connect.process_redirect", lambda _, exc: exc)
+    def test_force_redirect_server_name(self):
+        """Router redirects connections to the host declared in server_name."""
+        with run_router(self.url_map, server_name="other") as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/r"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            raised.exception.response.headers["Location"],
+            "ws://other/",
+        )
+
+    def test_not_found(self):
+        """Router rejects requests to unknown paths with an HTTP 404 error."""
+        with run_router(self.url_map) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/n"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            str(raised.exception),
+            "server rejected WebSocket connection: HTTP 404",
+        )
+
+    def test_process_request_returning_none(self):
+        """Router supports a process_request returning None."""
+
+        def process_request(ws, request):
+            ws.process_request_ran = True
+
+        with run_router(self.url_map, process_request=process_request) as server:
+            with connect(get_uri(server) + "/") as client:
+                self.assertEval(client, "ws.process_request_ran", "True")
+
+    def test_process_request_returning_response(self):
+        """Router supports a process_request returning a response."""
+
+        def process_request(ws, request):
+            return ws.respond(http.HTTPStatus.FORBIDDEN, "Forbidden")
+
+        with run_router(self.url_map, process_request=process_request) as server:
+            with self.assertRaises(InvalidStatus) as raised:
+                with connect(get_uri(server) + "/"):
+                    self.fail("did not raise")
+        self.assertEqual(
+            str(raised.exception),
+            "server rejected WebSocket connection: HTTP 403",
+        )
+
+    def test_custom_router_factory(self):
+        """Router supports a custom router factory."""
+
+        class MyRouter(Router):
+            def handler(self, connection):
+                connection.my_router_ran = True
+                return super().handler(connection)
+
+        with run_router(self.url_map, create_router=MyRouter) as server:
+            with connect(get_uri(server)) as client:
+                self.assertEval(client, "ws.my_router_ran", "True")
+
+
+@unittest.skipUnless(hasattr(socket, "AF_UNIX"), "this test requires Unix sockets")
+class UnixRouterTests(EvalShellMixin, unittest.IsolatedAsyncioTestCase):
+    def test_router_supports_unix_sockets(self):
+        """Router supports Unix sockets."""
+        url_map = Map([Rule("/echo/<int:count>", endpoint=echo)])
+        with temp_unix_socket_path() as path:
+            with run_unix_router(path, url_map):
+                with unix_connect(path, "ws://localhost/echo/3") as client:
+                    client.send("hello")
+                    messages = list(client)
+                self.assertEqual(messages, ["hello", "hello", "hello"])
diff --git a/tests/test_exports.py b/tests/test_exports.py
index 88e27e69..34a47066 100644
--- a/tests/test_exports.py
+++ b/tests/test_exports.py
@@ -2,6 +2,7 @@
 
 import websockets
 import websockets.asyncio.client
+import websockets.asyncio.router
 import websockets.asyncio.server
 import websockets.client
 import websockets.datastructures
@@ -16,6 +17,7 @@
     for name in (
         []
         + websockets.asyncio.client.__all__
+        + websockets.asyncio.router.__all__
         + websockets.asyncio.server.__all__
         + websockets.client.__all__
         + websockets.datastructures.__all__
diff --git a/tox.ini b/tox.ini
index 918aeaae..9450e971 100644
--- a/tox.ini
+++ b/tox.ini
@@ -17,6 +17,7 @@ pass_env =
 deps =
     py311,py312,py313,coverage,maxi_cov: mitmproxy
     py311,py312,py313,coverage,maxi_cov: python-socks[asyncio]
+    werkzeug
 
 [testenv:coverage]
 commands =
@@ -47,3 +48,4 @@ commands =
 deps =
     mypy
     python-socks
+    werkzeug