diff --git a/Doc/library/dbm.rst b/Doc/library/dbm.rst
--- a/Doc/library/dbm.rst
+++ b/Doc/library/dbm.rst
@@ -217,16 +217,20 @@ supported.
       reorganization; otherwise, deleted file space will be kept and reused as new
       (key, value) pairs are added.
 
    .. method:: gdbm.sync()
 
       When the database has been opened in fast mode, this method forces any
       unwritten data to be written to the disk.
 
+   .. method:: gdbm.close()
+
+      Close the ``gdbm`` database.
+
 
 :mod:`dbm.ndbm` --- Interface based on ndbm
 -------------------------------------------
 
 .. module:: dbm.ndbm
    :platform: Unix
    :synopsis: The standard "database" interface, based on ndbm.
 
@@ -248,17 +252,17 @@ to locate the appropriate header file to
 
 .. data:: library
 
    Name of the ``ndbm`` implementation library used.
 
 
 .. function:: open(filename[, flag[, mode]])
 
-   Open a dbm database and return a ``dbm`` object.  The *filename* argument is the
+   Open a dbm database and return a ``ndbm`` object.  The *filename* argument is the
    name of the database file (without the :file:`.dir` or :file:`.pag` extensions).
 
    The optional *flag* argument must be one of these values:
 
    +---------+-------------------------------------------+
    | Value   | Meaning                                   |
    +=========+===========================================+
    | ``'r'`` | Open existing database for reading only   |
@@ -273,16 +277,22 @@ to locate the appropriate header file to
    | ``'n'`` | Always create a new, empty database, open |
    |         | for reading and writing                   |
    +---------+-------------------------------------------+
 
    The optional *mode* argument is the Unix mode of the file, used only when the
    database has to be created.  It defaults to octal ``0o666`` (and will be
    modified by the prevailing umask).
 
+   In addition to the dictionary-like methods, ``ndbm`` objects provide the
+   following method:
+
+   .. method:: ndbm.close()
+
+      Close the ``ndbm`` database.
 
 
 :mod:`dbm.dumb` --- Portable DBM implementation
 -----------------------------------------------
 
 .. module:: dbm.dumb
    :synopsis: Portable implementation of the simple DBM interface.
 
@@ -320,14 +330,18 @@ The module defines the following:
    for update, and will be created if it does not exist.
 
    The optional *mode* argument is the Unix mode of the file, used only when the
    database has to be created.  It defaults to octal ``0o666`` (and will be modified
    by the prevailing umask).
 
    In addition to the methods provided by the
    :class:`collections.abc.MutableMapping` class, :class:`dumbdbm` objects
-   provide the following method:
+   provide the following methods:
 
    .. method:: dumbdbm.sync()
 
       Synchronize the on-disk directory and data files.  This method is called
-      by the :meth:`Shelve.sync` method.
+      by the :meth:`Shelf.sync <shelve.Shelf.sync>` method.
+
+   .. method:: dumbdbm.close()
+
+      Close the ``dumbdbm`` database.