diff --git a/Doc/library/gzip.rst b/Doc/library/gzip.rst
index 1f644286c9c..a8305936157 100644
--- a/Doc/library/gzip.rst
+++ b/Doc/library/gzip.rst
@@ -72,6 +72,9 @@ The module defines the following items:
    .. versionchanged:: 3.1
       Support for the :keyword:`with` statement was added.
 
+   .. versionchanged:: 3.2
+      Support for zero-padded files was added.
+
 
 .. function:: open(filename, mode='rb', compresslevel=9)
 
diff --git a/Lib/gzip.py b/Lib/gzip.py
index 66fc88daa0d..ef6befcb7d3 100644
--- a/Lib/gzip.py
+++ b/Lib/gzip.py
@@ -348,6 +348,15 @@ class GzipFile(io.BufferedIOBase):
         elif isize != (self.size & 0xffffffff):
             raise IOError("Incorrect length of data produced")
 
+        # Gzip files can be padded with zeroes and still have archives.
+        # Consume all zero bytes and set the file position to the first
+        # non-zero byte. See http://www.gzip.org/#faq8
+        c = b"\x00"
+        while c == b"\x00":
+            c = self.fileobj.read(1)
+        if c:
+            self.fileobj.seek(-1, 1)
+
     @property
     def closed(self):
         return self.fileobj is None
diff --git a/Lib/test/test_gzip.py b/Lib/test/test_gzip.py
index 320adfda8a0..429ada0dcd4 100644
--- a/Lib/test/test_gzip.py
+++ b/Lib/test/test_gzip.py
@@ -253,6 +253,18 @@ class TestGzip(unittest.TestCase):
         else:
             self.fail("1/0 didn't raise an exception")
 
+    def test_zero_padded_file(self):
+        with gzip.GzipFile(self.filename, "wb") as f:
+            f.write(data1 * 50)
+
+        # Pad the file with zeroes
+        with open(self.filename, "ab") as f:
+            f.write(b"\x00" * 50)
+
+        with gzip.GzipFile(self.filename, "rb") as f:
+            d = f.read()
+            self.assertEqual(d, data1 * 50, "Incorrect data in file")
+
 def test_main(verbose=None):
     support.run_unittest(TestGzip)
 
diff --git a/Misc/ACKS b/Misc/ACKS
index 72e2096c22c..f0c667a57c8 100644
--- a/Misc/ACKS
+++ b/Misc/ACKS
@@ -164,6 +164,7 @@ Simon Cross
 Drew Csillag
 John Cugini
 Tom Culliton
+Brian Curtin
 Lisandro Dalcin
 Andrew Dalke
 Lars Damerow
diff --git a/Misc/NEWS b/Misc/NEWS
index 3e4073d43d0..a577e65a239 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -213,6 +213,9 @@ C-API
 Library
 -------
 
+- Issue #2846: Add support for gzip.GzipFile reading zero-padded files.
+  Patch by Brian Curtin.
+
 - Issue #7681: Use floor division in appropiate places in the wave module.
 
 - Issue #5372: Drop the reuse of .o files in Distutils' ccompiler (since