diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index 1d0c1c5..e8ed79e 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -1552,6 +1552,50 @@
         self.assertEqual(dt1.toordinal(), dt2.toordinal())
         self.assertEqual(dt2.newmeth(-7), dt1.year + dt1.month - 7)
 
+    def test_subclass_alternate_constructors(self):
+        # Test that alternate constructors call the constructor
+        class DateSubclass(self.theclass):
+            def __new__(cls, *args, **kwargs):
+                result = self.theclass.__new__(cls, *args, **kwargs)
+                result.extra = 7
+
+                return result
+
+        args = (2003, 4, 14)
+        d_ord = 731319              # Equivalent ordinal date
+        d_isoformat = '2003-04-14'  # Equivalent isoformat()
+
+        base_d = DateSubclass(*args)
+        self.assertIsInstance(base_d, DateSubclass)
+        self.assertEqual(base_d.extra, 7)
+
+        # Timestamp depends on time zone, so we'll calculate the equivalent here
+        ts = datetime.combine(base_d, time(0)).timestamp()
+
+        test_cases = [
+            ('fromordinal', (d_ord,)),
+            ('fromtimestamp', (ts,)),
+            ('fromisoformat', (d_isoformat,)),
+        ]
+
+        for constr_name, constr_args in test_cases:
+            for base_obj in (DateSubclass, base_d):
+                # Test both the classmethod and method
+                with self.subTest(base_obj_type=type(base_obj),
+                                  constr_name=constr_name):
+                    constr = getattr(base_obj, constr_name)
+
+                    dt = constr(*constr_args)
+
+                    # Test that it creates the right subclass
+                    self.assertIsInstance(dt, DateSubclass)
+
+                    # Test that it's equal to the base object
+                    self.assertEqual(dt, base_d)
+
+                    # Test that it called the constructor
+                    self.assertEqual(dt.extra, 7)
+
     def test_pickling_subclass_date(self):
 
         args = 6, 7, 23
@@ -2420,6 +2464,54 @@
         self.assertEqual(dt2.newmeth(-7), dt1.year + dt1.month +
                                           dt1.second - 7)
 
+    def test_subclass_alternate_constructors_datetime(self):
+        # Test that alternate constructors call the constructor
+        class DateTimeSubclass(self.theclass):
+            def __new__(cls, *args, **kwargs):
+                result = self.theclass.__new__(cls, *args, **kwargs)
+                result.extra = 7
+
+                return result
+
+        args = (2003, 4, 14, 12, 30, 15, 123456)
+        d_isoformat = '2003-04-14T12:30:15.123456'      # Equivalent isoformat()
+        utc_ts = 1050323415.123456                      # UTC timestamp
+
+        base_d = DateTimeSubclass(*args)
+        self.assertIsInstance(base_d, DateTimeSubclass)
+        self.assertEqual(base_d.extra, 7)
+
+        # Timestamp depends on time zone, so we'll calculate the equivalent here
+        ts = base_d.timestamp()
+
+        test_cases = [
+            ('fromtimestamp', (ts,)),
+            # See https://bugs.python.org/issue32417
+            # ('fromtimestamp', (ts, timezone.utc)),
+            ('utcfromtimestamp', (utc_ts,)),
+            ('fromisoformat', (d_isoformat,)),
+            ('strptime', (d_isoformat, '%Y-%m-%dT%H:%M:%S.%f')),
+            ('combine', (date(*args[0:3]), time(*args[3:]))),
+        ]
+
+        for constr_name, constr_args in test_cases:
+            for base_obj in (DateTimeSubclass, base_d):
+                # Test both the classmethod and method
+                with self.subTest(base_obj_type=type(base_obj),
+                                  constr_name=constr_name):
+                    constr = getattr(base_obj, constr_name)
+
+                    dt = constr(*constr_args)
+
+                    # Test that it creates the right subclass
+                    self.assertIsInstance(dt, DateTimeSubclass)
+
+                    # Test that it's equal to the base object
+                    self.assertEqual(dt, base_d.replace(tzinfo=None))
+
+                    # Test that it called the constructor
+                    self.assertEqual(dt.extra, 7)
+
     def test_fromisoformat_datetime(self):
         # Test that isoformat() is reversible
         base_dates = [