diff --git a/Lib/test/test_float.py b/Lib/test/test_float.py
@@ -949,6 +949,12 @@ def test_None_ndigits(self):
             self.assertEqual(x, 2)
             self.assertIsInstance(x, int)
 
+    def test_round_with_none_arg_direct_call(self):
+        for val in [(1.0).__round__(None),
+                    round(1.0),
+                    round(1.0, None)]:
+            self.assertEqual(val, 1)
+            self.assertIs(type(val), int)
 
 # Beginning with Python 2.6 float has cross platform compatible
 # ways to create and represent inf and nan

diff --git a/Lib/test/test_inspect/test_inspect.py b/Lib/test/test_inspect/test_inspect.py
@@ -5412,7 +5412,6 @@ def test_builtins_have_signatures(self):
             'bytearray': {'count', 'endswith', 'find', 'hex', 'index', 'rfind', 'rindex', 'startswith'},
             'bytes': {'count', 'endswith', 'find', 'hex', 'index', 'rfind', 'rindex', 'startswith'},
             'dict': {'pop'},
-            'int': {'__round__'},
             'memoryview': {'cast', 'hex'},
             'str': {'count', 'endswith', 'find', 'index', 'maketrans', 'rfind', 'rindex', 'startswith'},
         }

diff --git a/Lib/test/test_int.py b/Lib/test/test_int.py
@@ -604,6 +604,12 @@ def test_issue31619(self):
         self.assertEqual(int('1_2_3_4_5_6_7_8_9', 16), 0x123456789)
         self.assertEqual(int('1_2_3_4_5_6_7', 32), 1144132807)
 
+    def test_round_with_none_arg_direct_call(self):
+        for val in [(1).__round__(None),
+                    round(1),
+                    round(1, None)]:
+            self.assertEqual(val, 1)
+            self.assertIs(type(val), int)
 
 class IntStrDigitLimitsTests(unittest.TestCase):
 

diff --git a/Misc/NEWS.d/next/Core and Builtins/2024-06-05-08-39-40.gh-issue-120080.DJFK11.rst b/Misc/NEWS.d/next/Core and Builtins/2024-06-05-08-39-40.gh-issue-120080.DJFK11.rst
@@ -0,0 +1,2 @@
+Direct call to the :meth:`!int.__round__` now accepts ``None``
+as a valid argument.
diff --git a/Objects/clinic/longobject.c.h b/Objects/clinic/longobject.c.h
diff --git a/Objects/longobject.c b/Objects/longobject.c
@@ -6034,7 +6034,7 @@ _PyLong_DivmodNear(PyObject *a, PyObject *b)
 /*[clinic input]
 int.__round__
 
-    ndigits as o_ndigits: object = NULL
+    ndigits as o_ndigits: object = None
     /
 
 Rounding an Integral returns itself.
@@ -6044,7 +6044,7 @@ Rounding with an ndigits argument also returns an integer.
 
 static PyObject *
 int___round___impl(PyObject *self, PyObject *o_ndigits)
-/*[clinic end generated code: output=954fda6b18875998 input=1614cf23ec9e18c3]*/
+/*[clinic end generated code: output=954fda6b18875998 input=30c2aec788263144]*/
 {
     PyObject *temp, *result, *ndigits;
 
@@ -6062,7 +6062,7 @@ int___round___impl(PyObject *self, PyObject *o_ndigits)
      *
      *   m - divmod_near(m, 10**n)[1].
      */
-    if (o_ndigits == NULL)
+    if (o_ndigits == Py_None)
         return long_long(self);
 
     ndigits = _PyNumber_Index(o_ndigits);
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,2 @@
		Direct call to the :meth:`!int.__round__` now accepts ``None``
		as a valid argument.