diff --git a/Lib/tarfile.py b/Lib/tarfile.py
index b678185..8e98dfa 100644
--- a/Lib/tarfile.py
+++ b/Lib/tarfile.py
@@ -662,12 +662,11 @@
         b = [self.buf]
         x = len(self.buf)
         while x < size:
-            try:
-                raw = self.fileobj.read(self.blocksize)
-                data = self.bz2obj.decompress(raw)
-                b.append(data)
-            except EOFError:
+            raw = self.fileobj.read(self.blocksize)
+            if not raw:
                 break
+            data = self.bz2obj.decompress(raw)
+            b.append(data)
             x += len(data)
         self.buf = "".join(b)
 
diff --git a/Lib/test/test_tarfile.py b/Lib/test/test_tarfile.py
index f5c9ed4..ee68118 100644
--- a/Lib/test/test_tarfile.py
+++ b/Lib/test/test_tarfile.py
@@ -1140,6 +1140,30 @@
 class Bz2StreamWriteTest(StreamWriteTest):
     mode = "w|bz2"
 
+class Bz2PartialReadTest(unittest.TestCase):
+    # Issue5068: The _BZ2Proxy.read() method loops forever
+    # on an empty or partial bzipped file.
+
+    def _test_partial_input(self, mode):
+        class MyStringIO(StringIO.StringIO):
+            hit_eof = False
+            def read(self, n):
+                if self.hit_eof:
+                    raise AssertionError("infinite loop detected in tarfile.open()")
+                self.hit_eof = self.pos == self.len
+                return StringIO.StringIO.read(self, n)
+
+        data = bz2.compress(tarfile.TarInfo("foo").tobuf())
+        for x in range(len(data) + 1):
+            tarfile.open(fileobj=MyStringIO(data[:x]), mode=mode)
+
+    def test_partial_input(self):
+        self._test_partial_input("r")
+
+    def test_partial_input_bz2(self):
+        self._test_partial_input("r:bz2")
+
+
 def test_main():
     if not os.path.exists(TEMPDIR):
         os.mkdir(TEMPDIR)
@@ -1196,6 +1220,7 @@
             Bz2StreamReadTest,
             Bz2WriteTest,
             Bz2StreamWriteTest,
+            Bz2PartialReadTest,
         ]
 
     try: