diff --git a/lib/internal/http2/compat.js b/lib/internal/http2/compat.js
index fa565e9bd67386..6a5fc40da18f95 100644
--- a/lib/internal/http2/compat.js
+++ b/lib/internal/http2/compat.js
@@ -116,10 +116,17 @@ function onStreamClosedResponse() {
   res.emit('finish');
 }
 
-function onAborted(hadError, code) {
+function onStreamAbortedRequest(hadError, code) {
   if ((this.writable) ||
       (this._readableState && !this._readableState.ended)) {
     this.emit('aborted', hadError, code);
+    this.emit('close');
+  }
+}
+
+function onStreamAbortedResponse() {
+  if (this.writable) {
+    this.emit('close');
   }
 }
 
@@ -145,7 +152,7 @@ class Http2ServerRequest extends Readable {
     stream.on('end', onStreamEnd);
     stream.on('error', onStreamError);
     stream.on('close', onStreamClosedRequest);
-    stream.on('aborted', onAborted.bind(this));
+    stream.on('aborted', onStreamAbortedRequest.bind(this));
     const onfinish = this[kFinish].bind(this);
     stream.on('streamClosed', onfinish);
     stream.on('finish', onfinish);
@@ -294,6 +301,7 @@ class Http2ServerResponse extends Stream {
     this.writable = true;
     stream.on('drain', onStreamResponseDrain);
     stream.on('close', onStreamClosedResponse);
+    stream.on('aborted', onStreamAbortedResponse.bind(this));
     const onfinish = this[kFinish].bind(this);
     stream.on('streamClosed', onfinish);
     stream.on('finish', onfinish);
diff --git a/test/parallel/test-http2-compat-serverresponse-close.js b/test/parallel/test-http2-compat-serverresponse-close.js
new file mode 100644
index 00000000000000..9b42ae05dc24b4
--- /dev/null
+++ b/test/parallel/test-http2-compat-serverresponse-close.js
@@ -0,0 +1,41 @@
+// Flags: --expose-http2 --expose-internals
+'use strict';
+
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const h2 = require('http2');
+
+// Server request and response should receive close event
+// if the connection was terminated before response.end
+// could be called or flushed
+
+const server = h2.createServer(common.mustCall((req, res) => {
+  res.writeHead(200);
+  res.write('a');
+
+  req.on('close', common.mustCall());
+  res.on('close', common.mustCall());
+}));
+server.listen(0);
+
+server.on('listening', function() {
+  const port = server.address().port;
+
+  const url = `http://localhost:${port}`;
+  const client = h2.connect(url, common.mustCall(function() {
+    const headers = {
+      ':path': '/foobar',
+      ':method': 'GET',
+      ':scheme': 'http',
+      ':authority': `localhost:${port}`,
+    };
+    const request = client.request(headers);
+    request.on('data', common.mustCall(function(chunk) {
+      // cause an error on the server side
+      client.destroy();
+      server.close();
+    }));
+    request.end();
+  }));
+});