diff --git a/doc/api/http2.md b/doc/api/http2.md
index ad40b37eb4f4ac..24af4e353d2dd8 100644
--- a/doc/api/http2.md
+++ b/doc/api/http2.md
@@ -1698,6 +1698,10 @@ changes:
     pr-url: https://github.com/nodejs/node/pull/16676
     description: Added the `maxHeaderListPairs` option with a default limit of
                  128 header pairs.
+  - version: REPLACEME
+    pr-url: https://github.com/nodejs/node/pull/15752
+    description: Added the `Http1IncomingMessage` and `Http1ServerResponse`
+                 option.
 -->
 
 * `options` {Object}
@@ -1747,6 +1751,12 @@ changes:
     used to determine the padding. See [Using options.selectPadding][].
   * `settings` {HTTP/2 Settings Object} The initial settings to send to the
     remote peer upon connection.
+  * `Http1IncomingMessage` {http.IncomingMessage} Specifies the IncomingMessage
+    class to used for HTTP/1 fallback. Useful for extending the original
+    `http.IncomingMessage`. **Default:** `http.IncomingMessage`
+  * `Http1ServerResponse` {http.ServerResponse} Specifies the ServerResponse
+    class to used for HTTP/1 fallback. Useful for extending the original
+    `http.ServerResponse`. **Default:** `http.ServerResponse`
 * `onRequestHandler` {Function} See [Compatibility API][]
 * Returns: {Http2Server}
 
diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index cbaf908246bd6d..361f4eeb64981d 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -5,6 +5,7 @@
 require('internal/util').assertCrypto();
 
 const { async_id_symbol } = process.binding('async_wrap');
+const http = require('http');
 const binding = process.binding('http2');
 const assert = require('assert');
 const { Buffer } = require('buffer');
@@ -67,6 +68,8 @@ const NETServer = net.Server;
 const TLSServer = tls.Server;
 
 const kInspect = require('internal/util').customInspectSymbol;
+const { kIncomingMessage } = require('_http_common');
+const { kServerResponse } = require('_http_server');
 
 const kAlpnProtocol = Symbol('alpnProtocol');
 const kAuthority = Symbol('authority');
@@ -2485,8 +2488,11 @@ function connectionListener(socket) {
 
   if (socket.alpnProtocol === false || socket.alpnProtocol === 'http/1.1') {
     // Fallback to HTTP/1.1
-    if (options.allowHTTP1 === true)
+    if (options.allowHTTP1 === true) {
+      socket.server[kIncomingMessage] = options.Http1IncomingMessage;
+      socket.server[kServerResponse] = options.Http1ServerResponse;
       return httpConnectionListener.call(this, socket);
+    }
     // Let event handler deal with the socket
     debug(`Unknown protocol from ${socket.remoteAddress}:${socket.remotePort}`);
     if (!this.emit('unknownProtocol', socket)) {
@@ -2526,6 +2532,13 @@ function initializeOptions(options) {
   options.allowHalfOpen = true;
   assertIsObject(options.settings, 'options.settings');
   options.settings = Object.assign({}, options.settings);
+
+  // Used only with allowHTTP1
+  options.Http1IncomingMessage = options.Http1IncomingMessage ||
+    http.IncomingMessage;
+  options.Http1ServerResponse = options.Http1ServerResponse ||
+    http.ServerResponse;
+
   return options;
 }
 
diff --git a/test/parallel/test-http2-https-fallback-http-server-options.js b/test/parallel/test-http2-https-fallback-http-server-options.js
new file mode 100644
index 00000000000000..20e2b122a24e8c
--- /dev/null
+++ b/test/parallel/test-http2-https-fallback-http-server-options.js
@@ -0,0 +1,90 @@
+// Flags: --expose-http2
+'use strict';
+
+const common = require('../common');
+const fixtures = require('../common/fixtures');
+
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+
+const assert = require('assert');
+const url = require('url');
+const tls = require('tls');
+const http2 = require('http2');
+const https = require('https');
+const http = require('http');
+
+const key = fixtures.readKey('agent8-key.pem');
+const cert = fixtures.readKey('agent8-cert.pem');
+const ca = fixtures.readKey('fake-startcom-root-cert.pem');
+
+function onRequest(request, response) {
+  const { socket: { alpnProtocol } } = request.httpVersion === '2.0' ?
+    request.stream.session : request;
+  response.status(200);
+  response.end(JSON.stringify({
+    alpnProtocol,
+    httpVersion: request.httpVersion,
+    userAgent: request.getUserAgent()
+  }));
+}
+
+class MyIncomingMessage extends http.IncomingMessage {
+  getUserAgent() {
+    return this.headers['user-agent'] || 'unknown';
+  }
+}
+
+class MyServerResponse extends http.ServerResponse {
+  status(code) {
+    return this.writeHead(code, { 'Content-Type': 'application/json' });
+  }
+}
+
+// HTTP/2 & HTTP/1.1 server
+{
+  const server = http2.createSecureServer(
+    {
+      cert,
+      key, allowHTTP1: true,
+      Http1IncomingMessage: MyIncomingMessage,
+      Http1ServerResponse: MyServerResponse
+    },
+    common.mustCall(onRequest, 1)
+  );
+
+  server.listen(0);
+
+  server.on('listening', common.mustCall(() => {
+    const { port } = server.address();
+    const origin = `https://localhost:${port}`;
+
+    // HTTP/1.1 client
+    https.get(
+      Object.assign(url.parse(origin), {
+        secureContext: tls.createSecureContext({ ca }),
+        headers: { 'User-Agent': 'node-test' }
+      }),
+      common.mustCall((response) => {
+        assert.strictEqual(response.statusCode, 200);
+        assert.strictEqual(response.statusMessage, 'OK');
+        assert.strictEqual(
+          response.headers['content-type'],
+          'application/json'
+        );
+
+        response.setEncoding('utf8');
+        let raw = '';
+        response.on('data', (chunk) => { raw += chunk; });
+        response.on('end', common.mustCall(() => {
+          const { alpnProtocol, httpVersion, userAgent } = JSON.parse(raw);
+          assert.strictEqual(alpnProtocol, false);
+          assert.strictEqual(httpVersion, '1.1');
+          assert.strictEqual(userAgent, 'node-test');
+
+          server.close();
+        }));
+      })
+    );
+  }));
+}