diff --git a/lib/Server.js b/lib/Server.js
index 42e29ddc8b..eecb6c71a7 100644
--- a/lib/Server.js
+++ b/lib/Server.js
@@ -15,6 +15,7 @@ const path = require('path');
 const ip = require('ip');
 const url = require('url');
 const http = require('http');
+const https = require('https');
 const spdy = require('spdy');
 const sockjs = require('sockjs');
 
@@ -571,7 +572,20 @@ function Server (compiler, options = {}, _log) {
       };
     }
 
-    this.listeningApp = spdy.createServer(options.https, app);
+    // `spdy` is effectively unmaintained, and as a consequence of an
+    // implementation that extensively relies on Node’s non-public APIs, broken
+    // on Node 10 and above. In those cases, only https will be used for now.
+    // Once express supports Node's built-in HTTP/2 support, migrating over to
+    // that should be the best way to go.
+    // The relevant issues are:
+    // - https://github.com/nodejs/node/issues/21665
+    // - https://github.com/webpack/webpack-dev-server/issues/1449
+    // - https://github.com/expressjs/express/issues/3388
+    if (+process.version.match(/^v(\d+)/)[1] >= 10) {
+      this.listeningApp = https.createServer(options.https, app);
+    } else {
+      this.listeningApp = spdy.createServer(options.https, app);
+    }
   } else {
     this.listeningApp = http.createServer(app);
   }
diff --git a/test/Https.test.js b/test/Https.test.js
new file mode 100644
index 0000000000..a0822ae147
--- /dev/null
+++ b/test/Https.test.js
@@ -0,0 +1,33 @@
+'use strict';
+
+const path = require('path');
+const request = require('supertest');
+const helper = require('./helper');
+const config = require('./fixtures/contentbase-config/webpack.config');
+require('mocha-sinon');
+
+const contentBasePublic = path.join(__dirname, 'fixtures/contentbase-config/public');
+
+describe('HTTPS', function testHttps() {
+  let server;
+  let req;
+  afterEach(helper.close);
+
+  // Increase the timeout to 20 seconds to allow time for key generation.
+  this.timeout(20000);
+
+  describe('to directory', () => {
+    before((done) => {
+      server = helper.start(config, {
+        contentBase: contentBasePublic,
+        https: true
+      }, done);
+      req = request(server.app);
+    });
+
+    it('Request to index', (done) => {
+      req.get('/')
+        .expect(200, /Heyo/, done);
+    });
+  });
+});