diff --git a/Doc/library/threading.rst b/Doc/library/threading.rst
--- a/Doc/library/threading.rst
+++ b/Doc/library/threading.rst
@@ -634,18 +634,19 @@
 
       .. versionadded:: 3.2
 
-   .. method:: notify()
+   .. method:: notify(n=1)
 
-      Wake up a thread waiting on this condition, if any.  If the calling thread
-      has not acquired the lock when this method is called, a
+      By default, wake up one thread waiting on this condition, if any.  If the
+      calling thread has not acquired the lock when this method is called, a
       :exc:`RuntimeError` is raised.
 
-      This method wakes up one of the threads waiting for the condition
-      variable, if any are waiting; it is a no-op if no threads are waiting.
+      This method wakes up at most *n* of the threads waiting for the condition
+      variable; it is a no-op if no threads are waiting.
 
-      The current implementation wakes up exactly one thread, if any are
-      waiting.  However, it's not safe to rely on this behavior.  A future,
-      optimized implementation may occasionally wake up more than one thread.
+      The current implementation wakes up exactly *n* threads, if at least *n*
+      threads are waiting.  However, it's not safe to rely on this behavior.
+      A future, optimized implementation may occasionally wake up more than
+      *n* threads.
 
       Note: the awakened thread does not actually return from its :meth:`wait`
       call until it can reacquire the lock.  Since :meth:`notify` does not