Index: Modules/datetimemodule.c
===================================================================
--- Modules/datetimemodule.c	(revision 61343)
+++ Modules/datetimemodule.c	(working copy)
@@ -2343,7 +2343,7 @@
 	int day = GET_DAY(date) + (negate ? -deltadays : deltadays);
 
 	if (normalize_date(&year, &month, &day) >= 0)
-		result = new_date(year, month, day);
+	  result = new_date_ex(year, month, day, Py_TYPE(date));
 	return result;
 }
 
@@ -3986,9 +3986,10 @@
 			       &hour, &minute, &second, &microsecond) < 0)
 		return NULL;
 	else
-		return new_datetime(year, month, day,
-				    hour, minute, second, microsecond,
-				    HASTZINFO(date) ? date->tzinfo : Py_None);
+		return new_datetime_ex(year, month, day,
+				       hour, minute, second, microsecond,
+				       HASTZINFO(date) ? date->tzinfo : Py_None,
+				       Py_TYPE(date));
 }
 
 static PyObject *
Index: Lib/test/test_datetime.py
===================================================================
--- Lib/test/test_datetime.py	(revision 61343)
+++ Lib/test/test_datetime.py	(working copy)
@@ -3323,6 +3323,14 @@
         self.assertEqual(as_datetime, datetime_sc)
         self.assertEqual(datetime_sc, as_datetime)
 
+    def test_issue2267(self):
+        class Date(date):
+            pass
+        class Datetime(datetime):
+            pass
+        self.assertTrue(type(Date(2008,3,10) + timedelta(1)) is Date)
+        self.assertTrue(type(Datetime(2008,3,10,12) + timedelta(1)) is Datetime)
+        
 def test_main():
     test_support.run_unittest(__name__)