diff -r 2e1a9e327859 Lib/tarfile.py
--- a/Lib/tarfile.py	Sat Nov 21 13:33:57 2015 -0500
+++ b/Lib/tarfile.py	Sat Nov 21 22:47:55 2015 +0100
@@ -64,7 +64,10 @@
     pass
 
 # from tarfile import *
-__all__ = ["TarFile", "TarInfo", "is_tarfile", "TarError"]
+__all__ = ["TarFile", "TarInfo", "is_tarfile", "TarError", "ReadError",
+           "CompressionError", "StreamError", "ExtractError", "HeaderError",
+           "ENCODING", "USTAR_FORMAT", "GNU_FORMAT", "PAX_FORMAT",
+           "DEFAULT_FORMAT", "open"]
 
 #---------------------------------------------------------
 # tar constants
diff -r 2e1a9e327859 Lib/test/test_tarfile.py
--- a/Lib/test/test_tarfile.py	Sat Nov 21 13:33:57 2015 -0500
+++ b/Lib/test/test_tarfile.py	Sat Nov 21 22:47:55 2015 +0100
@@ -1997,6 +1997,24 @@
         with self.assertRaises(ValueError):
             tarfile.itn(0x10000000000, 6, tarfile.GNU_FORMAT)
 
+    def test__all__(self):
+        blacklist = {'version', 'bltn_open', 'symlink_exception',
+                     'NUL', 'BLOCKSIZE', 'RECORDSIZE', 'GNU_MAGIC',
+                     'POSIX_MAGIC', 'LENGTH_NAME', 'LENGTH_LINK',
+                     'LENGTH_PREFIX', 'REGTYPE', 'AREGTYPE', 'LNKTYPE',
+                     'SYMTYPE', 'CHRTYPE', 'BLKTYPE', 'DIRTYPE', 'FIFOTYPE',
+                     'CONTTYPE', 'GNUTYPE_LONGNAME', 'GNUTYPE_LONGLINK',
+                     'GNUTYPE_SPARSE', 'XHDTYPE', 'XGLTYPE', 'SOLARIS_XHDTYPE',
+                     'SUPPORTED_TYPES', 'REGULAR_TYPES', 'GNU_TYPES',
+                     'PAX_FIELDS', 'PAX_NAME_FIELDS', 'PAX_NUMBER_FIELDS',
+                     'stn', 'nts', 'nti', 'itn', 'calc_chksums', 'copyfileobj',
+                     'filemode',
+                     'EmptyHeaderError', 'TruncatedHeaderError',
+                     'EOFHeaderError', 'InvalidHeaderError',
+                     'SubsequentHeaderError', 'ExFileObject', 'TarIter',
+                     'main'}
+        support.check__all__(self, tarfile, blacklist=blacklist)
+
 
 class CommandLineTest(unittest.TestCase):