diff --git a/Doc/library/mailbox.rst b/Doc/library/mailbox.rst
index c98496d1fff993..3ffd0981a4a4f2 100644
--- a/Doc/library/mailbox.rst
+++ b/Doc/library/mailbox.rst
@@ -364,6 +364,9 @@ Supported mailbox formats are Maildir, mbox, MH, Babyl, and MMDF.
 
       The :attr:`!colon` attribute may also be set on a per-instance basis.
 
+   .. versionchanged:: 3.13
+      :class:`Maildir` now ignores files with a leading dot.
+
    :class:`!Maildir` instances have all of the methods of :class:`Mailbox` in
    addition to the following:
 
diff --git a/Doc/whatsnew/3.13.rst b/Doc/whatsnew/3.13.rst
index 4f9643967d20cf..924e0f23ef7867 100644
--- a/Doc/whatsnew/3.13.rst
+++ b/Doc/whatsnew/3.13.rst
@@ -1117,6 +1117,9 @@ Changes in the Python API
   other "private" attributes.
   (See :gh:`112826`.)
 
+* :class:`mailbox.Maildir` now ignores files with a leading dot.
+  (Contributed by Zackery Spytz in :gh:`65559`.)
+
 
 Build Changes
 =============
diff --git a/Lib/mailbox.py b/Lib/mailbox.py
index 36afaded705d0a..574c01475dece6 100644
--- a/Lib/mailbox.py
+++ b/Lib/mailbox.py
@@ -590,6 +590,8 @@ def _refresh(self):
         for subdir in self._toc_mtimes:
             path = self._paths[subdir]
             for entry in os.listdir(path):
+                if entry.startswith('.'):
+                    continue
                 p = os.path.join(path, entry)
                 if os.path.isdir(p):
                     continue
diff --git a/Lib/test/test_mailbox.py b/Lib/test/test_mailbox.py
index 23fcbfac1f9c89..caa7eb3d829c68 100644
--- a/Lib/test/test_mailbox.py
+++ b/Lib/test/test_mailbox.py
@@ -681,6 +681,20 @@ def test_initialize_existing(self):
         self._box = mailbox.Maildir(self._path)
         self._check_basics()
 
+    def test_filename_leading_dot(self):
+        self.tearDown()
+        for subdir in '', 'tmp', 'new', 'cur':
+            os.mkdir(os.path.normpath(os.path.join(self._path, subdir)))
+        for subdir in 'tmp', 'new', 'cur':
+            fname = os.path.join(self._path, subdir, '.foo' + subdir)
+            with open(fname, 'wb') as f:
+                f.write(b"@")
+        self._box = mailbox.Maildir(self._path)
+        self.assertNotIn('.footmp', self._box)
+        self.assertNotIn('.foonew', self._box)
+        self.assertNotIn('.foocur', self._box)
+        self.assertEqual(list(self._box.iterkeys()), [])
+
     def _check_basics(self, factory=None):
         # (Used by test_open_new() and test_open_existing().)
         self.assertEqual(self._box._path, os.path.abspath(self._path))
diff --git a/Misc/NEWS.d/next/Library/2019-02-12-16-12-54.bpo-21360.gkSSfx.rst b/Misc/NEWS.d/next/Library/2019-02-12-16-12-54.bpo-21360.gkSSfx.rst
new file mode 100644
index 00000000000000..bc32b9fe4199f9
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2019-02-12-16-12-54.bpo-21360.gkSSfx.rst
@@ -0,0 +1 @@
+:class:`mailbox.Maildir` now ignores files with a leading dot.