diff --git a/src/Kestrel.Core/Internal/Http2/Http2Connection.cs b/src/Kestrel.Core/Internal/Http2/Http2Connection.cs
index 5796b73a91..ae2b7d5bed 100644
--- a/src/Kestrel.Core/Internal/Http2/Http2Connection.cs
+++ b/src/Kestrel.Core/Internal/Http2/Http2Connection.cs
@@ -208,6 +208,8 @@ namespace Microsoft.AspNetCore.Server.Kestrel.Core.Internal.Http2
                     return ProcessRstStreamFrameAsync();
                 case Http2FrameType.SETTINGS:
                     return ProcessSettingsFrameAsync();
+                case Http2FrameType.PUSH_PROMISE:
+                    throw new Http2ConnectionErrorException(Http2ErrorCode.PROTOCOL_ERROR);
                 case Http2FrameType.PING:
                     return ProcessPingFrameAsync();
                 case Http2FrameType.GOAWAY:
diff --git a/test/Kestrel.Core.Tests/Http2ConnectionTests.cs b/test/Kestrel.Core.Tests/Http2ConnectionTests.cs
index 56f2787b83..56bd6f3b31 100644
--- a/test/Kestrel.Core.Tests/Http2ConnectionTests.cs
+++ b/test/Kestrel.Core.Tests/Http2ConnectionTests.cs
@@ -852,6 +852,16 @@ namespace Microsoft.AspNetCore.Server.Kestrel.Core.Tests
             await WaitForConnectionErrorAsync(expectedLastStreamId: 0, expectedErrorCode: Http2ErrorCode.FRAME_SIZE_ERROR, ignoreNonGoAwayFrames: false);
         }
 
+        [Fact]
+        public async Task PUSH_PROMISE_Received_ConnectionError()
+        {
+            await InitializeConnectionAsync(_noopApplication);
+
+            await SendPushPromiseFrameAsync();
+
+            await WaitForConnectionErrorAsync(expectedLastStreamId: 0, expectedErrorCode: Http2ErrorCode.PROTOCOL_ERROR, ignoreNonGoAwayFrames: false);
+        }
+
         [Fact]
         public async Task PING_Received_Sends_ACK()
         {
@@ -1280,6 +1290,15 @@ namespace Microsoft.AspNetCore.Server.Kestrel.Core.Tests
             return SendAsync(frame.Raw);
         }
 
+        private Task SendPushPromiseFrameAsync()
+        {
+            var frame = new Http2Frame();
+            frame.Length = 0;
+            frame.Type = Http2FrameType.PUSH_PROMISE;
+            frame.StreamId = 1;
+            return SendAsync(frame.Raw);
+        }
+
         private async Task<bool> SendHeadersAsync(int streamId, Http2HeadersFrameFlags flags, IEnumerable<KeyValuePair<string, string>> headers)
         {
             var frame = new Http2Frame();