diff --git a/Lib/test/test_traceback.py b/Lib/test/test_traceback.py
index e8c4d74..641a2df 100644
--- a/Lib/test/test_traceback.py
+++ b/Lib/test/test_traceback.py
@@ -209,6 +209,13 @@
                     b'ZeroDivisionError: division by zero']
         self.assertEqual(stderr.splitlines(), expected)
 
+    def test_print_exception(self):
+        output = StringIO()
+        traceback.print_exception(
+            Exception, Exception("projector"), None, file=output
+        )
+        self.assertEqual(output.getvalue(), "Exception: projector\n")
+
 
 class TracebackFormatTests(unittest.TestCase):
 
@@ -848,6 +855,12 @@
         exc = traceback.TracebackException(Exception, e, tb)
         self.assertEqual(exc.stack[0].locals, None)
 
+    def test_traceback_header(self):
+        # do not print a traceback header if exc_traceback is None
+        # see issue #24695
+        exc = traceback.TracebackException(Exception, Exception("haven"), None)
+        self.assertEqual(list(exc.format()), ["Exception: haven\n"])
+
 
 class MiscTest(unittest.TestCase):
 
diff --git a/Lib/traceback.py b/Lib/traceback.py
index 61c9fb5..02edeb6 100644
--- a/Lib/traceback.py
+++ b/Lib/traceback.py
@@ -453,6 +453,7 @@
                 _seen=_seen)
         else:
             context = None
+        self.exc_traceback = exc_traceback
         self.__cause__ = cause
         self.__context__ = context
         self.__suppress_context__ = \
@@ -561,6 +562,7 @@
                 not self.__suppress_context__):
                 yield from self.__context__.format(chain=chain)
                 yield _context_message
-        yield 'Traceback (most recent call last):\n'
+        if self.exc_traceback is not None:
+            yield 'Traceback (most recent call last):\n'
         yield from self.stack.format()
         yield from self.format_exception_only()
diff --git a/Misc/NEWS b/Misc/NEWS
index b75bead..b5b3559 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -28,6 +28,10 @@
 Library
 -------
 
+- Issue #24695: Fix a regression in traceback.print_exception().  If
+  exc_traceback is None we shouldn't print a traceback header like described
+  in the documentation.
+
 - Issue #24620: Random.setstate() now validates the value of state last element.
 
 - Issue #22485: Fixed an issue that caused `inspect.getsource` to return incorrect