diff --git a/Lib/zipfile.py b/Lib/zipfile.py
index d7f5beb..06eedec 100644
--- a/Lib/zipfile.py
+++ b/Lib/zipfile.py
@@ -981,6 +981,8 @@
         return True
 
     def write(self, data):
+        if self.closed:
+            raise ValueError('I/O operation on closed file.')
         nbytes = len(data)
         self._file_size += nbytes
         self._crc = crc32(data, self._crc)
@@ -991,6 +993,8 @@
         return nbytes
 
     def close(self):
+        if self.closed:
+            return
         super().close()
         # Flush any data from the compressor, and update header info
         if self._compressor: