diff --git a/django/http/response.py b/django/http/response.py
index 59120c8e0d3..801a0c0640e 100644
--- a/django/http/response.py
+++ b/django/http/response.py
@@ -244,6 +244,8 @@ class HttpResponseBase:
                 delta = delta + datetime.timedelta(seconds=1)
                 # Just set max_age - the max_age logic will set expires.
                 expires = None
+                if max_age is not None:
+                    raise ValueError("'expires' and 'max_age' can't be used together.")
                 max_age = max(0, delta.days * 86400 + delta.seconds)
             else:
                 self.cookies[key]["expires"] = expires
diff --git a/tests/responses/test_cookie.py b/tests/responses/test_cookie.py
index 3a57dcfe45c..b6610cbaaba 100644
--- a/tests/responses/test_cookie.py
+++ b/tests/responses/test_cookie.py
@@ -76,6 +76,14 @@ class SetCookieTests(SimpleTestCase):
         response.set_cookie("max_age", max_age=timedelta(hours=1))
         self.assertEqual(response.cookies["max_age"]["max-age"], 3600)
 
+    def test_max_age_with_expires(self):
+        response = HttpResponse()
+        msg = "'expires' and 'max_age' can't be used together."
+        with self.assertRaisesMessage(ValueError, msg):
+            response.set_cookie(
+                "max_age", expires=datetime(2000, 1, 1), max_age=timedelta(hours=1)
+            )
+
     def test_httponly_cookie(self):
         response = HttpResponse()
         response.set_cookie("example", httponly=True)