diff --git a/Lib/test/test_atexit.py b/Lib/test/test_atexit.py
index 8a71036..9c7e109 100644
--- a/Lib/test/test_atexit.py
+++ b/Lib/test/test_atexit.py
@@ -65,6 +65,14 @@
 
         self.assertRaises(TypeError, atexit._run_exitfuncs)
 
+    def test_raise_unnormalized(self):
+        # Issue #10756: Make sure that an unnormalized exception is
+        # handled properly
+        atexit.register(lambda: 1 / 0)
+
+        self.assertRaises(ZeroDivisionError, atexit._run_exitfuncs)
+        self.assertIn("ZeroDivisionError", self.stream.getvalue())
+
     def test_stress(self):
         a = [0]
         def inc():