diff --git a/Lib/test/test_atexit.py b/Lib/test/test_atexit.py
--- a/Lib/test/test_atexit.py
+++ b/Lib/test/test_atexit.py
@@ -74,6 +74,25 @@ class TestCase(unittest.TestCase):
         self.assertRaises(ZeroDivisionError, atexit._run_exitfuncs)
         self.assertIn("ZeroDivisionError", self.stream.getvalue())
 
+    def test_print_tracebacks(self):
+        # Issue #18776: the tracebacks should be printed when errors occur.
+        def f():
+            1/0  # one
+        def g():
+            1/0  # two
+        def h():
+            1/0  # three
+        atexit.register(f)
+        atexit.register(g)
+        atexit.register(h)
+
+        self.assertRaises(ZeroDivisionError, atexit._run_exitfuncs)
+        stderr = self.stream.getvalue()
+        self.assertEqual(stderr.count("ZeroDivisionError"), 3)
+        self.assertIn("# one", stderr)
+        self.assertIn("# two", stderr)
+        self.assertIn("# three", stderr)
+
     def test_stress(self):
         a = [0]
         def inc():
diff --git a/Python/pythonrun.c b/Python/pythonrun.c
--- a/Python/pythonrun.c
+++ b/Python/pythonrun.c
@@ -1880,6 +1880,16 @@ PyErr_Display(PyObject *exception, PyObj
 {
     PyObject *seen;
     PyObject *f = PySys_GetObject("stderr");
+    if (PyExceptionInstance_Check(value)
+        && tb != NULL && PyTraceBack_Check(tb)) {
+        /* Put the traceback on the exception, otherwise PyErr_Print()
+           won't display it.  See issue #18776. */
+        PyObject *cur_tb = PyException_GetTraceback(value);
+        if (cur_tb == NULL)
+            PyException_SetTraceback(value, tb);
+        else
+            Py_DECREF(cur_tb);
+    }
     if (f == Py_None) {
         /* pass */
     }