diff --git a/Doc/library/inspect.rst b/Doc/library/inspect.rst
--- a/Doc/library/inspect.rst
+++ b/Doc/library/inspect.rst
@@ -829,6 +829,10 @@ index of the current line within that li
           finally:
               del frame
 
+   If you want to keep the frame around (for example to print a traceback
+   later), you can also break reference cycles by using the
+   :meth:`frame.clear` method.
+
 The optional *context* argument supported by most of these functions specifies
 the number of lines of context to return, which are centered around the current
 line.
diff --git a/Doc/reference/datamodel.rst b/Doc/reference/datamodel.rst
--- a/Doc/reference/datamodel.rst
+++ b/Doc/reference/datamodel.rst
@@ -934,6 +934,18 @@ Internal types
       frame).  A debugger can implement a Jump command (aka Set Next Statement)
       by writing to f_lineno.
 
+      Frame objects support one method:
+
+      .. method:: frame.clear()
+
+         This method clears all references to local variables held by the
+         frame.  Also, if the frame belonged to a generator, the generator
+         is finalized.  This helps break reference cycles involving frame
+         objects (for example when catching an exception and storing its
+         traceback for later use).
+
+         .. versionadded:: 3.4
+
    Traceback objects
       .. index::
          object: traceback
diff --git a/Lib/test/test_frame.py b/Lib/test/test_frame.py
new file mode 100644
--- /dev/null
+++ b/Lib/test/test_frame.py
@@ -0,0 +1,82 @@
+import gc
+import sys
+import unittest
+import weakref
+
+from test import support
+
+
+class ClearTest(unittest.TestCase):
+    """
+    Tests for frame.clear().
+    """
+
+    def inner(self, x=5, **kwargs):
+        1/0
+
+    def outer(self, **kwargs):
+        try:
+            self.inner(**kwargs)
+        except ZeroDivisionError as e:
+            exc = e
+        return exc
+
+    def clear_traceback_frames(self, tb):
+        """
+        Clear all frames in a traceback.
+        """
+        while tb is not None:
+            tb.tb_frame.clear()
+            tb = tb.tb_next
+
+    def test_clear_locals(self):
+        class C:
+            pass
+        c = C()
+        wr = weakref.ref(c)
+        exc = self.outer(c=c)
+        del c
+        support.gc_collect()
+        # A reference to c is held through the frames
+        self.assertIsNot(None, wr())
+        self.clear_traceback_frames(exc.__traceback__)
+        support.gc_collect()
+        # The reference was released by .clear()
+        self.assertIs(None, wr())
+
+    def test_clear_generator(self):
+        endly = False
+        def g():
+            nonlocal endly
+            try:
+                yield
+                inner()
+            finally:
+                endly = True
+        gen = g()
+        next(gen)
+        self.assertFalse(endly)
+        # Clearing the frames closes the generator
+        gen.gi_frame.clear()
+        self.assertTrue(endly)
+
+    @support.cpython_only
+    def test_clear_refcycles(self):
+        # .clear() doesn't leave any refcycle behin
+        with support.disable_gc():
+            class C:
+                pass
+            c = C()
+            wr = weakref.ref(c)
+            exc = self.outer(c=c)
+            del c
+            self.assertIsNot(None, wr())
+            self.clear_traceback_frames(exc.__traceback__)
+            self.assertIs(None, wr())
+
+
+def test_main():
+    support.run_unittest(__name__)
+
+if __name__ == "__main__":
+    test_main()
diff --git a/Objects/frameobject.c b/Objects/frameobject.c
--- a/Objects/frameobject.c
+++ b/Objects/frameobject.c
@@ -609,7 +609,7 @@ static int numfree = 0;         /* numbe
 #define PyFrame_MAXFREELIST 200
 
 static void
-frame_clear(PyFrameObject *f);
+frame_tp_clear(PyFrameObject *f);
 
 static void
 frame_dealloc(PyFrameObject *f)
@@ -617,7 +617,7 @@ frame_dealloc(PyFrameObject *f)
     PyCodeObject *co;
 
     Py_REFCNT(f)++;
-    frame_clear(f);
+    frame_tp_clear(f);
     Py_REFCNT(f)--;
     if (Py_REFCNT(f) > 0) {
         /* Frame resurrected! */
@@ -693,7 +693,7 @@ frame_traverse(PyFrameObject *f, visitpr
 }
 
 static void
-frame_clear(PyFrameObject *f)
+frame_tp_clear(PyFrameObject *f)
 {
     PyObject **fastlocals, **p, **oldtop;
     Py_ssize_t i, slots;
@@ -738,6 +738,16 @@ frame_clear(PyFrameObject *f)
 }
 
 static PyObject *
+frame_clear(PyFrameObject *f)
+{
+    frame_tp_clear(f);
+    Py_RETURN_NONE;
+}
+
+PyDoc_STRVAR(clear__doc__,
+"F.clear(): clear most references held by the frame");
+
+static PyObject *
 frame_sizeof(PyFrameObject *f)
 {
     Py_ssize_t res, extras, ncells, nfrees;
@@ -756,6 +766,8 @@ PyDoc_STRVAR(sizeof__doc__,
 "F.__sizeof__() -> size of F in memory, in bytes");
 
 static PyMethodDef frame_methods[] = {
+    {"clear",           (PyCFunction)frame_clear,       METH_NOARGS,
+     clear__doc__},
     {"__sizeof__",      (PyCFunction)frame_sizeof,      METH_NOARGS,
      sizeof__doc__},
     {NULL,              NULL}   /* sentinel */
@@ -784,7 +796,7 @@ PyTypeObject PyFrame_Type = {
     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,/* tp_flags */
     0,                                          /* tp_doc */
     (traverseproc)frame_traverse,               /* tp_traverse */
-    (inquiry)frame_clear,                       /* tp_clear */
+    (inquiry)frame_tp_clear,                    /* tp_clear */
     0,                                          /* tp_richcompare */
     0,                                          /* tp_weaklistoffset */
     0,                                          /* tp_iter */