diff --git a/rest_framework/permissions.py b/rest_framework/permissions.py
index 437e9036d..974715ae1 100644
--- a/rest_framework/permissions.py
+++ b/rest_framework/permissions.py
@@ -77,7 +77,7 @@ class OR:
         if hasperm1 and hasperm1 is not NotImplemented:
             return hasperm1
         hasperm2 = self.op2.has_permission(request, view)
-        return hasperm1 if hasperm2 is NotImplemented else hasperm2
+        return hasperm2 or hasperm1
 
     def has_object_permission(self, request, view, obj):
         hasperm1 = self.op1.has_object_permission(request, view, obj)
@@ -88,7 +88,7 @@ class OR:
         hasperm2 = self.op2.has_object_permission(request, view, obj)
         if hasperm2 is NotImplemented:
             hasperm2 = self.op2.has_permission(request, view)
-        return hasperm1 if hasperm2 is NotImplemented else hasperm2
+        return hasperm2 or hasperm1
 
 
 class NOT:
diff --git a/tests/test_permissions.py b/tests/test_permissions.py
index 6ca3566c9..33bc6cf4a 100644
--- a/tests/test_permissions.py
+++ b/tests/test_permissions.py
@@ -698,7 +698,7 @@ class PermissionsCompositionTests(TestCase):
             permissions.IsAdminUser |
             BasicObjectPerm
         )
-        assert composed_perm().has_permission(request, None) is False
+        assert composed_perm().has_permission(request, None) is NotImplemented
         assert composed_perm().has_object_permission(request, None, None) is False
 
     def test_has_object_permission_not_implemented_true(self):