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():
diff --git a/Misc/NEWS b/Misc/NEWS
index 7ce7445..be158fe 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -30,6 +30,8 @@
 Library
 -------
 
+- Issue #10756: atexit normalizes the exception before displaying it.
+
 - Issue #10790: email.header.Header.append's charset logic now works correctly
   for charsets whose output codec is different from its input codec.
 
diff --git a/Modules/atexitmodule.c b/Modules/atexitmodule.c
index 1382133..1ee7ead 100644
--- a/Modules/atexitmodule.c
+++ b/Modules/atexitmodule.c
@@ -72,6 +72,7 @@
             PyErr_Fetch(&exc_type, &exc_value, &exc_tb);
             if (!PyErr_ExceptionMatches(PyExc_SystemExit)) {
                 PySys_WriteStderr("Error in atexit._run_exitfuncs:\n");
+                PyErr_NormalizeException(&exc_type, &exc_value, &exc_tb);
                 PyErr_Display(exc_type, exc_value, exc_tb);
             }
         }