diff --git a/Doc/library/time.rst b/Doc/library/time.rst
index 28e994c..24461b3 100644
--- a/Doc/library/time.rst
+++ b/Doc/library/time.rst
@@ -41,25 +41,6 @@
   parsed, they are converted according to the POSIX and ISO C standards: values
   69--99 are mapped to 1969--1999, and values 0--68 are mapped to 2000--2068.
 
-  For backward compatibility, years with less than 4 digits are treated
-  specially by :func:`asctime`, :func:`mktime`, and :func:`strftime` functions
-  that operate on a 9-tuple or :class:`struct_time` values. If year (the first
-  value in the 9-tuple) is specified with less than 4 digits, its interpretation
-  depends on the value of ``accept2dyear`` variable.
-
-  If ``accept2dyear`` is true (default), a backward compatibility behavior is
-  invoked as follows:
-
-    - for 2-digit year, century is guessed according to POSIX rules for
-      ``%y`` strptime format.  A deprecation warning is issued when century
-      information is guessed in this way.
-
-    - for 3-digit or negative year, a :exc:`ValueError` exception is raised.
-
-  If ``accept2dyear`` is false (set by the program or as a result of a
-  non-empty value assigned to ``PYTHONY2K`` environment variable) all year
-  values are interpreted as given.
-
 .. index::
    single: UTC
    single: Coordinated Universal Time
@@ -117,24 +98,6 @@
 
 The module defines the following functions and data items:
 
-
-.. data:: accept2dyear
-
-   Boolean value indicating whether two-digit year values will be
-   mapped to 1969--2068 range by :func:`asctime`, :func:`mktime`, and
-   :func:`strftime` functions.  This is true by default, but will be
-   set to false if the environment variable :envvar:`PYTHONY2K` has
-   been set to a non-empty string.  It may also be modified at run
-   time.
-
-   .. deprecated:: 3.2
-      Mapping of 2-digit year values by :func:`asctime`,
-      :func:`mktime`, and :func:`strftime` functions to 1969--2068
-      range is deprecated.  Programs that need to process 2-digit
-      years should use ``%y`` code available in :func:`strptime`
-      function or convert 2-digit year values to 4-digit themselves.
-
-
 .. data:: altzone
 
    The offset of the local DST timezone, in seconds west of UTC, if one is defined.
@@ -308,7 +271,7 @@
    | ``%y``    | Year without century as a decimal number       |       |
    |           | [00,99].                                       |       |
    +-----------+------------------------------------------------+-------+
-   | ``%Y``    | Year with century as a decimal number.         | \(4)  |
+   | ``%Y``    | Year with century as a decimal number.         |       |
    |           |                                                |       |
    +-----------+------------------------------------------------+-------+
    | ``%Z``    | Time zone name (no characters if no time zone  |       |
@@ -332,12 +295,6 @@
       When used with the :func:`strptime` function, ``%U`` and ``%W`` are only used in
       calculations when the day of the week and the year are specified.
 
-   (4)
-      Produces different results depending on the value of
-      ``time.accept2dyear`` variable.  See :ref:`Year 2000 (Y2K)
-      issues <time-y2kissues>` for details.
-
-
    Here is an example, a format for dates compatible with that specified  in the
    :rfc:`2822` Internet email standard.  [#]_ ::
 
@@ -418,8 +375,7 @@
    +-------+-------------------+---------------------------------+
 
    Note that unlike the C structure, the month value is a range of [1, 12], not
-   [0, 11].  A year value will be handled as described under :ref:`Year 2000
-   (Y2K) issues <time-y2kissues>` above.  A ``-1`` argument as the daylight
+   [0, 11].  A ``-1`` argument as the daylight
    savings flag, passed to :func:`mktime` will usually result in the correct
    daylight savings state to be filled in.
 
diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index 8499af8..9d7dbc8 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -96,12 +96,13 @@
         self._bounds_checking(lambda tup: time.strftime('', tup))
 
     def test_default_values_for_zero(self):
-        # Make sure that using all zeros uses the proper default values.
-        # No test for daylight savings since strftime() does not change output
-        # based on its value.
+        # Make sure that using all zeros uses the proper default
+        # values.  No test for daylight savings since strftime() does
+        # not change output based on its value and no test for year
+        # because systems vary in their support for year 0.
         expected = "2000 01 01 00 00 00 1 001"
         with support.check_warnings():
-            result = time.strftime("%Y %m %d %H %M %S %w %j", (0,)*9)
+            result = time.strftime("%Y %m %d %H %M %S %w %j", (2000,)+(0,)*8)
         self.assertEqual(expected, result)
 
     def test_strptime(self):
@@ -271,15 +272,6 @@
 
 
 class _BaseYearTest(unittest.TestCase):
-    accept2dyear = None
-
-    def setUp(self):
-        self.saved_accept2dyear = time.accept2dyear
-        time.accept2dyear = self.accept2dyear
-
-    def tearDown(self):
-        time.accept2dyear = self.saved_accept2dyear
-
     def yearstr(self, y):
         raise NotImplementedError()
 
@@ -306,23 +298,7 @@
         self.assertEqual(text, '12345')
         self.assertEqual(self.yearstr(123456789), '123456789')
 
-class _Test2dYear(_BaseYearTest):
-    accept2dyear = 1
-
-    def test_year(self):
-        with support.check_warnings():
-            self.assertEqual(self.yearstr(0), '2000')
-            self.assertEqual(self.yearstr(69), '1969')
-            self.assertEqual(self.yearstr(68), '2068')
-            self.assertEqual(self.yearstr(99), '1999')
-
-    def test_invalid(self):
-        self.assertRaises(ValueError, self.yearstr, -1)
-        self.assertRaises(ValueError, self.yearstr, 100)
-        self.assertRaises(ValueError, self.yearstr, 999)
-
 class _Test4dYear(_BaseYearTest):
-    accept2dyear = 0
 
     def test_year(self):
         self.assertIn(self.yearstr(1),     ('1', '0001'))
@@ -361,46 +337,19 @@
         except OverflowError:
             pass
 
-class TestAsctimeAccept2dYear(_TestAsctimeYear, _Test2dYear):
-    pass
-
-class TestStrftimeAccept2dYear(_TestStrftimeYear, _Test2dYear):
-    pass
-
 class TestAsctime4dyear(_TestAsctimeYear, _Test4dYear):
     pass
 
 class TestStrftime4dyear(_TestStrftimeYear, _Test4dYear):
     pass
 
-class Test2dyearBool(_TestAsctimeYear, _Test2dYear):
-    accept2dyear = True
-
-class Test4dyearBool(_TestAsctimeYear, _Test4dYear):
-    accept2dyear = False
-
-class TestAccept2YearBad(_TestAsctimeYear, _BaseYearTest):
-    class X:
-        def __bool__(self):
-            raise RuntimeError('boo')
-    accept2dyear = X()
-    def test_2dyear(self):
-        pass
-    def test_invalid(self):
-        self.assertRaises(RuntimeError, self.yearstr, 200)
-
 
 def test_main():
     support.run_unittest(
         TimeTestCase,
         TestLocale,
-        TestAsctimeAccept2dYear,
-        TestStrftimeAccept2dYear,
         TestAsctime4dyear,
-        TestStrftime4dyear,
-        Test2dyearBool,
-        Test4dyearBool,
-        TestAccept2YearBad)
+        TestStrftime4dyear)
 
 if __name__ == "__main__":
     test_main()
diff --git a/Modules/timemodule.c b/Modules/timemodule.c
index 4303232..c1e261c 100644
--- a/Modules/timemodule.c
+++ b/Modules/timemodule.c
@@ -66,9 +66,6 @@
 static int floatsleep(double);
 static double floattime(void);
 
-/* For Y2K check */
-static PyObject *moddict;
-
 static PyObject *
 time_time(PyObject *self, PyObject *unused)
 {
@@ -311,49 +308,6 @@
                           &p->tm_hour, &p->tm_min, &p->tm_sec,
                           &p->tm_wday, &p->tm_yday, &p->tm_isdst))
         return 0;
-
-    /* If year is specified with less than 4 digits, its interpretation
-     * depends on the accept2dyear value.
-     *
-     * If accept2dyear is true (default), a backward compatibility behavior is
-     * invoked as follows:
-     *
-     *   - for 2-digit year, century is guessed according to POSIX rules for
-     *      %y strptime format: 21st century for y < 69, 20th century
-     *      otherwise.  A deprecation warning is issued when century
-     *      information is guessed in this way.
-     *
-     *   - for 3-digit or negative year, a ValueError exception is raised.
-     *
-     * If accept2dyear is false (set by the program or as a result of a
-     * non-empty value assigned to PYTHONY2K environment variable) all year
-     * values are interpreted as given.
-     */
-    if (y < 1000) {
-        PyObject *accept = PyDict_GetItemString(moddict,
-                                                "accept2dyear");
-        if (accept != NULL) {
-            int acceptval =  PyObject_IsTrue(accept);
-            if (acceptval == -1)
-                return 0;
-            if (acceptval) {
-                if (0 <= y && y < 69)
-                    y += 2000;
-                else if (69 <= y && y < 100)
-                    y += 1900;
-                else {
-                    PyErr_SetString(PyExc_ValueError,
-                                    "year out of range");
-                    return 0;
-                }
-                if (PyErr_WarnEx(PyExc_DeprecationWarning,
-                           "Century info guessed for a 2-digit year.", 1) != 0)
-                    return 0;
-            }
-        }
-        else
-            return 0;
-    }
     p->tm_year = y - 1900;
     p->tm_mon--;
     p->tm_wday = (p->tm_wday + 1) % 7;
@@ -863,7 +817,7 @@
 \n\
 The other representation is a tuple of 9 integers giving local time.\n\
 The tuple items are:\n\
-  year (four digits, e.g. 1998)\n\
+  year (including century, e.g. 1998)\n\
   month (1-12)\n\
   day (1-31)\n\
   hours (0-23)\n\
@@ -920,13 +874,6 @@
     if (m == NULL)
         return NULL;
 
-    /* Accept 2-digit dates unless PYTHONY2K is set and non-empty */
-    p = Py_GETENV("PYTHONY2K");
-    PyModule_AddIntConstant(m, "accept2dyear", (long) (!p || !*p));
-    /* Squirrel away the module's dictionary for the y2k check */
-    moddict = PyModule_GetDict(m);
-    Py_INCREF(moddict);
-
     /* Set, or reset, module variables like time.timezone */
     PyInit_timezone(m);