diff --git a/Lib/asyncio/taskgroups.py b/Lib/asyncio/taskgroups.py
index e1ec025791a52e..63d5a809fa5ea5 100644
--- a/Lib/asyncio/taskgroups.py
+++ b/Lib/asyncio/taskgroups.py
@@ -87,7 +87,7 @@ async def _aexit(self, et, exc):
         self._exiting = True
 
         if (exc is not None and
-                self._is_base_error(exc) and
+                (self._is_base_error(exc) or isinstance(exc, GeneratorExit)) and
                 self._base_error is None):
             self._base_error = exc
 
@@ -140,6 +140,21 @@ async def _aexit(self, et, exc):
         assert not self._tasks
 
         if self._base_error is not None:
+            if isinstance(self._base_error, GeneratorExit):
+                # Unlike SystemExit/KeyboardInterrupt, GeneratorExit can
+                # only reach here via the "async with" body itself being
+                # closed (e.g. an enclosing async generator's aclose()),
+                # not via a child task, so any collected task errors are
+                # about to be discarded silently.  Report them instead of
+                # losing them.  See gh-135736.
+                for suppressed_exc in self._errors:
+                    self._loop.call_exception_handler({
+                        'message': 'TaskGroup task exception was not '
+                                   'propagated because the TaskGroup body '
+                                   'is being closed via GeneratorExit',
+                        'exception': suppressed_exc,
+                        'task_group': self,
+                    })
             try:
                 raise self._base_error
             finally:
diff --git a/Lib/test/test_asyncio/test_taskgroups.py b/Lib/test/test_asyncio/test_taskgroups.py
index e1eaa60e4df85d..fc0a3d95703558 100644
--- a/Lib/test/test_asyncio/test_taskgroups.py
+++ b/Lib/test/test_asyncio/test_taskgroups.py
@@ -608,6 +608,87 @@ async def runner():
             get_error_types(cm.exception), {MyBaseExc, ZeroDivisionError}
         )
 
+    async def test_taskgroup_20b(self):
+        # See gh-135736: a GeneratorExit raised by the "async with" body
+        # itself (e.g. propagating out of an enclosing async generator's
+        # aclose()) must propagate directly, not be wrapped in an
+        # ExceptionGroup, since callers of GeneratorExit-closing APIs
+        # only know how to handle GeneratorExit/StopAsyncIteration.
+        async def nested():
+            try:
+                await asyncio.sleep(10)
+            finally:
+                raise GeneratorExit
+
+        async def runner():
+            async with taskgroups.TaskGroup() as g:
+                await nested()
+
+        with self.assertRaises(GeneratorExit):
+            await runner()
+
+    async def test_taskgroup_20c(self):
+        # Same as test_taskgroup_20b, but with a sibling task that also
+        # fails.  The sibling's exception can't be raised (only one
+        # exception can propagate through GeneratorExit-closing APIs),
+        # but it must be reported via the loop's exception handler
+        # instead of silently discarded.
+        async def crash_soon():
+            await asyncio.sleep(0.1)
+            1 / 0
+
+        async def nested():
+            try:
+                await asyncio.sleep(10)
+            finally:
+                raise GeneratorExit
+
+        async def runner():
+            async with taskgroups.TaskGroup() as g:
+                g.create_task(crash_soon())
+                await nested()
+
+        contexts = []
+        loop = asyncio.get_running_loop()
+        loop.set_exception_handler(lambda loop, context: contexts.append(context))
+
+        with self.assertRaises(GeneratorExit):
+            await runner()
+
+        self.assertEqual(len(contexts), 1)
+        self.assertIsInstance(contexts[0]['exception'], ZeroDivisionError)
+
+    async def test_taskgroup_20d(self):
+        # Reproduces the original report in gh-135736: closing an async
+        # generator whose body awaits inside a TaskGroup must not raise
+        # an ExceptionGroup out of aclose().
+        async def genfn():
+            async with taskgroups.TaskGroup():
+                yield 1
+
+        g = genfn()
+        await g.asend(None)
+        await g.aclose()
+
+    async def test_taskgroup_20e(self):
+        # Unlike a GeneratorExit raised by the "async with" body itself
+        # (test_taskgroup_20b), a GeneratorExit raised by a *task* inside
+        # the group is not a "close this generator" signal and continues
+        # to be wrapped in an ExceptionGroup like any other exception.
+        async def crash_soon():
+            await asyncio.sleep(0.1)
+            raise GeneratorExit
+
+        async def runner():
+            async with taskgroups.TaskGroup() as g:
+                g.create_task(crash_soon())
+                await asyncio.sleep(10)
+
+        with self.assertRaises(BaseExceptionGroup) as cm:
+            await runner()
+
+        self.assertEqual(get_error_types(cm.exception), {GeneratorExit})
+
     async def _test_taskgroup_21(self):
         # This test doesn't work as asyncio, currently, doesn't
         # correctly propagate KeyboardInterrupt (or SystemExit) --
diff --git a/Misc/NEWS.d/next/Library/2026-07-23-12-27-52.gh-issue-135736.hkuGvu.rst b/Misc/NEWS.d/next/Library/2026-07-23-12-27-52.gh-issue-135736.hkuGvu.rst
new file mode 100644
index 00000000000000..3e119ead70148f
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2026-07-23-12-27-52.gh-issue-135736.hkuGvu.rst
@@ -0,0 +1,5 @@
+Fix :class:`asyncio.TaskGroup` raising a spurious :exc:`ExceptionGroup` instead
+of propagating :exc:`GeneratorExit` directly when the ``async with`` block is
+exited via an enclosing async generator's :meth:`~agen.aclose`. Errors from
+sibling tasks that would otherwise be silently discarded in this case are now
+reported via :meth:`loop.call_exception_handler() <asyncio.loop.call_exception_handler>`.