diff --git a/Doc/library/zipfile.rst b/Doc/library/zipfile.rst
index a2fa966..e5872f3 100644
--- a/Doc/library/zipfile.rst
+++ b/Doc/library/zipfile.rst
@@ -131,7 +131,7 @@
 
 
 .. class:: ZipFile(file, mode='r', compression=ZIP_STORED, allowZip64=True, \
-                   compresslevel=None)
+                   compresslevel=None, *, strict_timestamps=True)
 
    Open a ZIP file, where *file* can be a path to a file (a string), a
    file-like object or a :term:`path-like object`.
@@ -169,6 +169,12 @@
    When using :const:`ZIP_BZIP2` integers ``1`` through ``9`` are accepted
    (see :class:`bz2 <bz2.BZ2File>` for more information).
 
+   The *strict_timestamps* argument, when set to ``False``, allows to
+   zip files older than 1980-01-01 at the cost of setting the
+   timestamp to 1980-01-01.
+   Similar behavior occurs with files newer than 2107-12-31,
+   the timestamp is also set to the limit.
+
    If the file is created with mode ``'w'``, ``'x'`` or ``'a'`` and then
    :meth:`closed <close>` without adding any files to the archive, the appropriate
    ZIP structures for an empty archive will be written to the file.
@@ -203,6 +209,9 @@
    .. versionchanged:: 3.7
       Add the *compresslevel* parameter.
 
+   .. versionadded:: 3.8
+      The *strict_timestamps* keyword-only argument
+
 
 .. method:: ZipFile.close()
 
@@ -368,7 +377,7 @@
 
 
 .. method:: ZipFile.write(filename, arcname=None, compress_type=None, \
-                          compresslevel=None, *, strict_timestamps=True)
+                          compresslevel=None)
 
    Write the file named *filename* to the archive, giving it the archive name
    *arcname* (by default, this will be the same as *filename*, but without a drive
@@ -377,11 +386,6 @@
    the new entry. Similarly, *compresslevel* will override the constructor if
    given.
    The archive must be open with mode ``'w'``, ``'x'`` or ``'a'``.
-   The *strict_timestamps* argument, when set to ``False``, allows to
-   zip files older than 1980-01-01 at the cost of setting the
-   timestamp to 1980-01-01.
-   Similar behavior occurs with files newer than 2107-12-31,
-   the timestamp is also set to the limit.
 
    .. note::
 
@@ -405,9 +409,6 @@
       a closed ZipFile will raise a :exc:`ValueError`.  Previously,
       a :exc:`RuntimeError` was raised.
 
-   .. versionadded:: 3.8
-      The *strict_timestamps* keyword-only argument
-
 
 .. method:: ZipFile.writestr(zinfo_or_arcname, data, compress_type=None, \
                              compresslevel=None)
diff --git a/Lib/test/test_zipfile.py b/Lib/test/test_zipfile.py
index 68b56a0..4c6f57c 100644
--- a/Lib/test/test_zipfile.py
+++ b/Lib/test/test_zipfile.py
@@ -549,8 +549,8 @@
         with zipfile.ZipFile(TESTFN2, "w") as zipfp:
             self.assertRaises(ValueError, zipfp.write, TESTFN)
 
-        with zipfile.ZipFile(TESTFN2, "w") as zipfp:
-            zipfp.write(TESTFN, strict_timestamps=False)
+        with zipfile.ZipFile(TESTFN2, "w", strict_timestamps=False) as zipfp:
+            zipfp.write(TESTFN)
             zinfo = zipfp.getinfo(TESTFN)
             self.assertEqual(zinfo.date_time, (1980, 1, 1, 0, 0, 0))
 
@@ -564,8 +564,8 @@
         with zipfile.ZipFile(TESTFN2, "w") as zipfp:
             self.assertRaises(struct.error, zipfp.write, TESTFN)
 
-        with zipfile.ZipFile(TESTFN2, "w") as zipfp:
-            zipfp.write(TESTFN, strict_timestamps=False)
+        with zipfile.ZipFile(TESTFN2, "w", strict_timestamps=False) as zipfp:
+            zipfp.write(TESTFN)
             zinfo = zipfp.getinfo(TESTFN)
             self.assertEqual(zinfo.date_time, (2107, 12, 31, 23, 59, 59))
 
diff --git a/Lib/zipfile.py b/Lib/zipfile.py
index 6da1778..7f23778 100644
--- a/Lib/zipfile.py
+++ b/Lib/zipfile.py
@@ -1151,7 +1151,7 @@
     _windows_illegal_name_trans_table = None
 
     def __init__(self, file, mode="r", compression=ZIP_STORED, allowZip64=True,
-                 compresslevel=None):
+                 compresslevel=None, *, strict_timestamps=True):
         """Open the ZIP file with mode read 'r', write 'w', exclusive create 'x',
         or append 'a'."""
         if mode not in ('r', 'w', 'x', 'a'):
@@ -1169,6 +1169,7 @@
         self.mode = mode
         self.pwd = None
         self._comment = b''
+        self._strict_timestamps = strict_timestamps
 
         # Check if we were passed a file-like object
         if isinstance(file, os.PathLike):
@@ -1677,8 +1678,7 @@
                                    " would require ZIP64 extensions")
 
     def write(self, filename, arcname=None,
-              compress_type=None, compresslevel=None, *,
-              strict_timestamps=True):
+              compress_type=None, compresslevel=None):
         """Put the bytes from filename into the archive under the name
         arcname."""
         if not self.fp:
@@ -1690,7 +1690,7 @@
             )
 
         zinfo = ZipInfo.from_file(filename, arcname,
-                                  strict_timestamps=strict_timestamps)
+                                  strict_timestamps=self._strict_timestamps)
 
         if zinfo.is_dir():
             zinfo.compress_size = 0