diff --git a/Lib/test/test_urllib2.py b/Lib/test/test_urllib2.py
index 58cb2a8..8d17e05 100644
--- a/Lib/test/test_urllib2.py
+++ b/Lib/test/test_urllib2.py
@@ -1063,6 +1063,12 @@
         o = build_opener(urllib2.HTTPHandler())
         self.opener_has_handler(o, urllib2.HTTPHandler)
 
+        # Issue2670: multiple handlers sharing the same base class
+        class MyOtherHTTPHandler(urllib2.HTTPHandler): pass
+        o = build_opener(MyHTTPHandler, MyOtherHTTPHandler)
+        self.opener_has_handler(o, MyHTTPHandler)
+        self.opener_has_handler(o, MyOtherHTTPHandler)
+
     def opener_has_handler(self, opener, handler_class):
         for h in opener.handlers:
             if h.__class__ == handler_class: