diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index 8b526c001004c5..9f21daeff16bfd 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -2680,6 +2680,8 @@ function processRespondWithFD(self, fd, headers, offset = 0, length = -1,
   try {
     headersList = buildNgHeaderString(headers, assertValidPseudoHeaderResponse);
   } catch (err) {
+    if (self.ownsFd)
+      tryClose(fd);
     self.destroy(err);
     return;
   }
@@ -2693,6 +2695,8 @@ function processRespondWithFD(self, fd, headers, offset = 0, length = -1,
   const ret = self[kHandle].respond(headersList, streamOptions);
 
   if (ret < 0) {
+    if (self.ownsFd)
+      tryClose(fd);
     self.destroy(new NghttpError(ret));
     return;
   }
diff --git a/test/parallel/test-http2-respond-file-fd-leak.js b/test/parallel/test-http2-respond-file-fd-leak.js
new file mode 100644
index 00000000000000..45e12185008a45
--- /dev/null
+++ b/test/parallel/test-http2-respond-file-fd-leak.js
@@ -0,0 +1,51 @@
+'use strict';
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const fixtures = require('../common/fixtures');
+const assert = require('assert');
+const http2 = require('http2');
+const fs = require('fs');
+
+const fname = fixtures.path('elipses.txt');
+
+const server = http2.createServer();
+
+server.on('stream', common.mustCall((stream) => {
+  const originalClose = fs.close;
+  let fdClosed = false;
+
+  fs.close = common.mustCall(function(fd, cb) {
+    fdClosed = true;
+    return originalClose.apply(this, arguments);
+  });
+
+  const headers = {
+    ':method': 'GET',
+    'content-type': 'text/plain'
+  };
+
+  stream.respondWithFile(fname, headers);
+
+  stream.on('error', common.mustCall((err) => {
+    assert.strictEqual(err.code, 'ERR_HTTP2_INVALID_PSEUDOHEADER');
+  }));
+
+  stream.on('close', common.mustCall(() => {
+    fs.close = originalClose;
+    assert.strictEqual(fdClosed, true);
+  }));
+}));
+
+server.listen(0, common.mustCall(() => {
+  const client = http2.connect(`http://localhost:${server.address().port}`);
+  const req = client.request();
+
+  req.on('close', common.mustCall(() => {
+    client.close();
+    server.close();
+  }));
+
+  req.on('error', common.mustCall());
+  req.end();
+}));