diff --git a/lib/assert.js b/lib/assert.js
index 51ee781b59b472..db0a2283e63db9 100644
--- a/lib/assert.js
+++ b/lib/assert.js
@@ -502,7 +502,7 @@ class Comparison {
   }
 }
 
-function compareExceptionKey(actual, expected, key, message, keys) {
+function compareExceptionKey(actual, expected, key, message, keys, fn) {
   if (!(key in actual) || !isDeepStrictEqual(actual[key], expected[key])) {
     if (!message) {
       // Create placeholder objects to create a nice output.
@@ -513,24 +513,24 @@ function compareExceptionKey(actual, expected, key, message, keys) {
         actual: a,
         expected: b,
         operator: 'deepStrictEqual',
-        stackStartFn: assert.throws
+        stackStartFn: fn
       });
       err.actual = actual;
       err.expected = expected;
-      err.operator = 'throws';
+      err.operator = fn.name;
       throw err;
     }
     innerFail({
       actual,
       expected,
       message,
-      operator: 'throws',
-      stackStartFn: assert.throws
+      operator: fn.name,
+      stackStartFn: fn
     });
   }
 }
 
-function expectedException(actual, expected, msg) {
+function expectedException(actual, expected, msg, fn) {
   if (typeof expected !== 'function') {
     if (isRegExp(expected))
       return expected.test(actual);
@@ -548,9 +548,9 @@ function expectedException(actual, expected, msg) {
         expected,
         message: msg,
         operator: 'deepStrictEqual',
-        stackStartFn: assert.throws
+        stackStartFn: fn
       });
-      err.operator = 'throws';
+      err.operator = fn.name;
       throw err;
     }
 
@@ -570,7 +570,7 @@ function expectedException(actual, expected, msg) {
           expected[key].test(actual[key])) {
         continue;
       }
-      compareExceptionKey(actual, expected, key, msg, keys);
+      compareExceptionKey(actual, expected, key, msg, keys, fn);
     }
     return true;
   }
@@ -676,7 +676,7 @@ function expectsError(stackStartFn, actual, error, message) {
       stackStartFn
     });
   }
-  if (error && expectedException(actual, error, message) === false) {
+  if (error && !expectedException(actual, error, message, stackStartFn)) {
     throw actual;
   }
 }
diff --git a/test/parallel/test-assert-async.js b/test/parallel/test-assert-async.js
index c2b422061721a1..d461e403300b34 100644
--- a/test/parallel/test-assert-async.js
+++ b/test/parallel/test-assert-async.js
@@ -96,6 +96,7 @@ promises.push(assert.rejects(
     assert.strictEqual(err.message,
                        'Got unwanted rejection.\nActual message: "Failed"');
     assert.strictEqual(err.operator, 'doesNotReject');
+    assert.ok(err.stack);
     assert.ok(!err.stack.includes('at Function.doesNotReject'));
     return true;
   };
@@ -121,5 +122,29 @@ promises.push(assert.rejects(
   }
 ));
 
+{
+  const handler = (generated, actual, err) => {
+    assert.strictEqual(err.generatedMessage, generated);
+    assert.strictEqual(err.code, 'ERR_ASSERTION');
+    assert.strictEqual(err.actual, actual);
+    assert.strictEqual(err.operator, 'rejects');
+    assert(/rejects/.test(err.stack));
+    return true;
+  };
+  const err = new Error();
+  promises.push(assert.rejects(
+    assert.rejects(Promise.reject(null), { code: 'FOO' }),
+    handler.bind(null, true, null)
+  ));
+  promises.push(assert.rejects(
+    assert.rejects(Promise.reject(5), { code: 'FOO' }, 'AAAAA'),
+    handler.bind(null, false, 5)
+  ));
+  promises.push(assert.rejects(
+    assert.rejects(Promise.reject(err), { code: 'FOO' }, 'AAAAA'),
+    handler.bind(null, false, err)
+  ));
+}
+
 // Make sure all async code gets properly executed.
 Promise.all(promises).then(common.mustCall());