diff --git a/Lib/zipfile.py b/Lib/zipfile.py
index 471cffc986e..eb00b34daa4 100644
--- a/Lib/zipfile.py
+++ b/Lib/zipfile.py
@@ -32,9 +32,9 @@ ZIP_DEFLATED = 8
 # Other ZIP compression methods not supported
 
 # Here are some struct module formats for reading headers
-structEndArchive = "<4s4H2lH"     # 9 items, end of archive, 22 bytes
+structEndArchive = "<4s4H2LH"     # 9 items, end of archive, 22 bytes
 stringEndArchive = "PK\005\006"   # magic number for end of archive record
-structCentralDir = "<4s4B4HlLL5HLl"# 19 items, central directory, 46 bytes
+structCentralDir = "<4s4B4HlLL5HLL"# 19 items, central directory, 46 bytes
 stringCentralDir = "PK\001\002"   # magic number for central directory
 structFileHeader = "<4s2B4HlLL2H"  # 12 items, file header record, 30 bytes
 stringFileHeader = "PK\003\004"   # magic number for file header
diff --git a/Misc/NEWS b/Misc/NEWS
index a068876bad4..e988fc73010 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -369,6 +369,9 @@ Core and builtins
 Library
 -------
 
+- #1189216: Fix the zipfile module to work on archives with headers
+  past the 2**31 byte boundary.
+
 - #1336: fix a race condition in subprocess.Popen if the garbage
   collector kicked in at the wrong time that would cause the process
   to hang when the child wrote to stderr.