diff --git a/django/contrib/auth/checks.py b/django/contrib/auth/checks.py
index d1b0a44fdd..e7b5815cbd 100644
--- a/django/contrib/auth/checks.py
+++ b/django/contrib/auth/checks.py
@@ -6,6 +6,7 @@ from itertools import chain
 from django.apps import apps
 from django.conf import settings
 from django.core import checks
+from django.utils import six
 
 from .management import _get_builtin_permissions
 
@@ -73,6 +74,26 @@ def check_user_model(app_configs=None, **kwargs):
                 )
             )
 
+    if isinstance(cls().is_anonymous, six.types.MethodType):
+        errors.append(
+            checks.Critical(
+                '%s.is_anonymous must be an attribute or property rather than '
+                'a method. Ignoring this is a security issue as anonymous '
+                'users will be treated as authenticated!' % cls,
+                obj=cls,
+                id='auth.C009',
+            )
+        )
+    if isinstance(cls().is_authenticated, six.types.MethodType):
+        errors.append(
+            checks.Critical(
+                '%s.is_authenticated must be an attribute or property rather '
+                'than a method. Ignoring this is a security issue as anonymous '
+                'users will be treated as authenticated!' % cls,
+                obj=cls,
+                id='auth.C010',
+            )
+        )
     return errors
 
 
diff --git a/docs/ref/checks.txt b/docs/ref/checks.txt
index 486b88cc2e..e4af02c1a2 100644
--- a/docs/ref/checks.txt
+++ b/docs/ref/checks.txt
@@ -450,6 +450,12 @@ Auth
   to be at most 255 characters.
 * **auth.E008**: The permission named ``<name>`` of model ``<model>`` is longer
   than 255 characters.
+* **auth.C009**: ``<User model>.is_anonymous`` must be an attribute or property
+  rather than a method. Ignoring this is a security issue as anonymous users
+  will be treated as authenticated!
+* **auth.C010**: ``<User model>.is_authenticated`` must be an attribute or
+  property rather than a method. Ignoring this is a security issue as anonymous
+  users will be treated as authenticated!
 
 
 Content Types
diff --git a/tests/auth_tests/test_checks.py b/tests/auth_tests/test_checks.py
index 3ff78d9851..962444fb60 100644
--- a/tests/auth_tests/test_checks.py
+++ b/tests/auth_tests/test_checks.py
@@ -83,6 +83,39 @@ class UserModelChecksTests(SimpleTestCase):
                 ),
             ])
 
+    @override_settings(AUTH_USER_MODEL='auth_tests.BadUser')
+    def test_is_anonymous_authenticated_methods(self):
+        """
+        <User Model>.is_anonymous/is_authenticated must not be methods.
+        """
+        class BadUser(AbstractBaseUser):
+            username = models.CharField(max_length=30, unique=True)
+            USERNAME_FIELD = 'username'
+
+            def is_anonymous(self):
+                return True
+
+            def is_authenticated(self):
+                return True
+
+        errors = checks.run_checks(app_configs=self.apps.get_app_configs())
+        self.assertEqual(errors, [
+            checks.Critical(
+                '%s.is_anonymous must be an attribute or property rather than '
+                'a method. Ignoring this is a security issue as anonymous '
+                'users will be treated as authenticated!' % BadUser,
+                obj=BadUser,
+                id='auth.C009',
+            ),
+            checks.Critical(
+                '%s.is_authenticated must be an attribute or property rather '
+                'than a method. Ignoring this is a security issue as anonymous '
+                'users will be treated as authenticated!' % BadUser,
+                obj=BadUser,
+                id='auth.C010',
+            ),
+        ])
+
 
 @isolate_apps('auth_tests', attr_name='apps')
 @override_system_checks([check_models_permissions])