diff --git a/Lib/_strptime.py b/Lib/_strptime.py
index 0ea4c43..0106e91 100644
--- a/Lib/_strptime.py
+++ b/Lib/_strptime.py
@@ -339,7 +339,7 @@
         raise ValueError("unconverted data remains: %s" %
                           data_string[found.end():])
 
-    year = 1900
+    year = None
     month = day = 1
     hour = minute = second = fraction = 0
     tz = -1
@@ -444,6 +444,10 @@
                     else:
                         tz = value
                         break
+    if year is None and month == 2 and day == 29:
+        year = 1904  # 1904 is first leap year of 20th century
+    elif year is None:
+        year = 1900
     # If we know the week of the year and what day of that week, we can figure
     # out the Julian day of the year.
     if julian == -1 and week_of_year != -1 and weekday != -1:
diff --git a/Lib/test/test_strptime.py b/Lib/test/test_strptime.py
index 98d759b..7245671 100644
--- a/Lib/test/test_strptime.py
+++ b/Lib/test/test_strptime.py
@@ -378,6 +378,9 @@
         need_escaping = ".^$*+?{}\[]|)("
         self.assertTrue(_strptime._strptime_time(need_escaping, need_escaping))
 
+    def test_feb29_on_leap_year_without_year(self):
+        time.strptime("Feb 29", "%b %d")
+
 class Strptime12AMPMTests(unittest.TestCase):
     """Test a _strptime regression in '%I %p' at 12 noon (12 PM)"""
 
diff --git a/Misc/NEWS b/Misc/NEWS
index c4901b0..42fc741 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -63,6 +63,9 @@
 Library
 -------
 
+- Issue #14157: Fix time.strptime failing without a year on February 29th.
+  Patch by Hynek Schlawack.
+
 - Issue #14768: os.path.expanduser('~/a') doesn't works correctly when HOME is '/'.
 
 - Issue #14741: Fix missing support for Ellipsis ('...') in parser module.