diff -r ea7f22cf9c8c Lib/sqlite3/dbapi2.py
--- a/Lib/sqlite3/dbapi2.py	Wed Dec 28 10:23:24 2016 +0200
+++ b/Lib/sqlite3/dbapi2.py	Thu Dec 29 20:20:37 2016 +0200
@@ -64,7 +64,15 @@ def register_adapters_and_converters():
         return datetime.date(*map(int, val.split(b"-")))
 
     def convert_timestamp(val):
-        datepart, timepart = val.split(b" ")
+        datepart, timetzpart = val.split(b" ")
+        if b"+" in timetzpart:
+            tzsign = 1
+            timepart, tzpart = timetzpart.split(b"+")
+        elif b"-" in timetzpart:
+            tzsign = -1
+            timepart, tzpart = timetzpart.split(b"-")
+        else:
+            timepart, tzpart = timetzpart, None
         year, month, day = map(int, datepart.split(b"-"))
         timepart_full = timepart.split(b".")
         hours, minutes, seconds = map(int, timepart_full[0].split(b":"))
@@ -72,8 +80,15 @@ def register_adapters_and_converters():
             microseconds = int('{:0<6.6}'.format(timepart_full[1].decode()))
         else:
             microseconds = 0
+        if tzpart:
+            tzhours, tzminutes = map(int, tzpart.split(b":"))
+            tz = datetime.timezone(
+                tzsign * datetime.timedelta(hours=tzhours, minutes=tzminutes))
+        else:
+            tz = None
 
-        val = datetime.datetime(year, month, day, hours, minutes, seconds, microseconds)
+        val = datetime.datetime(year, month, day, hours, minutes, seconds,
+                                microseconds, tz)
         return val
 
 
diff -r ea7f22cf9c8c Lib/sqlite3/test/types.py
--- a/Lib/sqlite3/test/types.py	Wed Dec 28 10:23:24 2016 +0200
+++ b/Lib/sqlite3/test/types.py	Thu Dec 29 20:20:37 2016 +0200
@@ -404,6 +404,18 @@ class DateTimeTests(unittest.TestCase):
         ts2 = self.cur.fetchone()[0]
         self.assertEqual(ts, ts2)
 
+    def CheckDateTimeTimezone(self):
+        timezones = [datetime.timezone(datetime.timedelta(hours=6)),
+                     datetime.timezone.utc,
+                     datetime.timezone(-datetime.timedelta(hours=6))]
+        dts = [datetime.datetime(2004, 2, 14, 7, 15, 0, tzinfo=tz)
+               for tz in timezones]
+        self.cur.executemany("insert into test(ts) values (?)",
+                             [(dt,) for dt in dts])
+        self.cur.execute("select ts from test")
+        result = self.cur.fetchall()
+        self.assertEqual(set(dts), set(row[0] for row in result))
+
 def suite():
     sqlite_type_suite = unittest.makeSuite(SqliteTypeTests, "Check")
     decltypes_type_suite = unittest.makeSuite(DeclTypesTests, "Check")