diff --git a/Lib/test/test_zipfile.py b/Lib/test/test_zipfile.py
index d39f05f..d09ad96 100644
--- a/Lib/test/test_zipfile.py
+++ b/Lib/test/test_zipfile.py
@@ -734,6 +734,48 @@
     compression = zipfile.ZIP_LZMA
 
 
+class AbstractWriterTests:
+
+    def tearDown(self):
+        unlink(TESTFN2)
+
+    def test_close_after_close(self):
+        data = b'content'
+        with zipfile.ZipFile(TESTFN2, "w", self.compression) as zipf:
+            w = zipf.open('test', 'w')
+            w.write(data)
+            w.close()
+            self.assertTrue(w.closed)
+            w.close()
+            self.assertTrue(w.closed)
+            self.assertEqual(zipf.read('test'), data)
+
+    def test_write_after_close(self):
+        data = b'content'
+        with zipfile.ZipFile(TESTFN2, "w", self.compression) as zipf:
+            w = zipf.open('test', 'w')
+            w.write(data)
+            w.close()
+            self.assertTrue(w.closed)
+            self.assertRaises(ValueError, w.write, b'')
+            self.assertEqual(zipf.read('test'), data)
+
+class StoredWriterTests(AbstractWriterTests, unittest.TestCase):
+    compression = zipfile.ZIP_STORED
+
+@requires_zlib
+class DeflateWriterTests(AbstractWriterTests, unittest.TestCase):
+    compression = zipfile.ZIP_DEFLATED
+
+@requires_bz2
+class Bzip2WriterTests(AbstractWriterTests, unittest.TestCase):
+    compression = zipfile.ZIP_BZIP2
+
+@requires_lzma
+class LzmaWriterTests(AbstractWriterTests, unittest.TestCase):
+    compression = zipfile.ZIP_LZMA
+
+
 class PyZipFileTests(unittest.TestCase):
     def assertCompiledIn(self, name, namelist):
         if name + 'o' not in namelist:
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:
diff --git a/Misc/NEWS b/Misc/NEWS
index 7628ed5..673211d 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -32,6 +32,9 @@
 Library
 -------
 
+- bpo-30017: Allowed calling the close() method of the zip entry writer object
+  multiple times.  Writing to a closed writer now always produces a ValueError.
+
 - bpo-30068: _io._IOBase.readlines will check if it's closed first when
   hint is present.