diff --git a/Doc/library/time.rst b/Doc/library/time.rst
index 735588a17e6e..ed1f71dea4a0 100644
--- a/Doc/library/time.rst
+++ b/Doc/library/time.rst
@@ -259,6 +259,12 @@ Functions
    :const:`None`, the current time as returned by :func:`.time` is used.  The dst
    flag is set to ``1`` when DST applies to the given time.
 
+   :func:`localtime` may raise :exc:`OverflowError`, if the timestamp is
+   outside the range of values supported by the platform C :c:func:`localtime`
+   or :c:func:`gmtime` functions, and :exc:`OSError` on :c:func:`localtime` or
+   :c:func:`gmtime` failure. It's common for this to be restricted to years
+   between 1970 and 2038.
+
 
 .. function:: mktime(t)