diff --git a/Lib/zipfile.py b/Lib/zipfile.py
index b90b60f72e2bcd..fee6704b286397 100644
--- a/Lib/zipfile.py
+++ b/Lib/zipfile.py
@@ -201,7 +201,7 @@ def _EndRecData64(fpin, offset, endrec):
     if sig != stringEndArchive64Locator:
         return endrec
 
-    if diskno != 0 or disks != 1:
+    if diskno != 0 or disks > 1:
         raise BadZipFile("zipfiles that span multiple disks are not supported")
 
     # Assume no 'zip64 extensible data'
diff --git a/Misc/NEWS.d/next/Library/2018-03-08-16-15-00.bpo-22102.th33uD.rst b/Misc/NEWS.d/next/Library/2018-03-08-16-15-00.bpo-22102.th33uD.rst
new file mode 100644
index 00000000000000..ad690f57c52384
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2018-03-08-16-15-00.bpo-22102.th33uD.rst
@@ -0,0 +1,2 @@
+Added support for ZIP files with disks set to 0. Such files are commonly created by builtin tools on Windows when use ZIP64 extension.
+Patch by Francisco Facioni.