diff --git a/http-core/src/main/scala/org/apache/pekko/http/impl/engine/http2/Http2StreamHandling.scala b/http-core/src/main/scala/org/apache/pekko/http/impl/engine/http2/Http2StreamHandling.scala
index 2969be8a7..26decba61 100644
--- a/http-core/src/main/scala/org/apache/pekko/http/impl/engine/http2/Http2StreamHandling.scala
+++ b/http-core/src/main/scala/org/apache/pekko/http/impl/engine/http2/Http2StreamHandling.scala
@@ -445,6 +445,11 @@ private[http2] trait Http2StreamHandling extends GraphStageLogic with LogHelper
       case _: WindowUpdateFrame =>
         // We're not planning on sending any data on this stream anymore, so we don't care about window updates.
         this
+      case rst: RstStreamFrame =>
+        val headers = ParsedHeadersFrame(rst.streamId, endStream = false, Seq((":status", "429")), None)
+        dispatchSubstream(headers, Right(Source.failed(new PeerClosedStreamException(rst.streamId, rst.errorCode))),
+          correlationAttributes)
+        Closed
       case _ =>
         expectIncomingStream(event, Closed, HalfClosedLocal(_), correlationAttributes)
     }
diff --git a/http2-tests/src/test/scala/org/apache/pekko/http/impl/engine/http2/Http2ClientSpec.scala b/http2-tests/src/test/scala/org/apache/pekko/http/impl/engine/http2/Http2ClientSpec.scala
index 6220625a0..97b665724 100644
--- a/http2-tests/src/test/scala/org/apache/pekko/http/impl/engine/http2/Http2ClientSpec.scala
+++ b/http2-tests/src/test/scala/org/apache/pekko/http/impl/engine/http2/Http2ClientSpec.scala
@@ -291,6 +291,24 @@ class Http2ClientSpec extends PekkoSpecWithMaterializer("""
           val dynamicTableUpdateTo8192 = ByteString(63, 225, 63)
           headerPayload.take(3) shouldBe dynamicTableUpdateTo8192
         })
+      "close stream if peer sends RST_STREAM frame with REFUSED_STREAM".inAssertAllStagesStopped(
+        new TestSetup with NetProbes {
+          val data = ByteString("abcd")
+          user.emitRequest(Post("/", HttpEntity(data)))
+          val TheStreamId = network.expect[HeadersFrame]().streamId
+          network.expectDATA(TheStreamId, endStream = true, data)
+
+          network.sendRST_STREAM(TheStreamId, ErrorCode.REFUSED_STREAM)
+
+          val response = user.expectResponse()
+          response.status should be(StatusCodes.TooManyRequests)
+
+          val entityDataIn = ByteStringSinkProbe(response.entity.dataBytes)
+          val error = entityDataIn.expectError()
+          error.getMessage shouldBe "Stream with ID [1] was closed by peer with code REFUSED_STREAM(0x07)"
+
+          connectionShouldStillBeUsable()
+        })
     }
 
     "support stream for response data" should {