diff --git a/docsrc/completions.rst b/docsrc/completions.rst
new file mode 100644
index 0000000..9208844
--- /dev/null
+++ b/docsrc/completions.rst
@@ -0,0 +1,74 @@
+Shell completions
+=================
+
+Argparse supports generating shell completion scripts for Bash, Zsh, and Fish.
+The completion scripts support completing options, commands, and argument
+choices.
+
+The Parser methods ``:get_bash_complete()``, ``get_zsh_complete()``, and
+``:get_fish_complete()`` return completion scripts as a string.
+
+Adding a completion option or command
+-------------------------------------
+
+A ``--completion`` option can be added to the parser using the
+``:add_complete([value])`` method. The optional ``value`` argument is a string
+or table used to configure the option.
+
+.. code-block:: lua
+   :linenos:
+
+   local parser = argparse()
+      :add_complete()
+
+.. code-block:: none
+
+   $ lua script.lua -h
+
+.. code-block:: none
+
+   Usage: script.lua [-h] [--completion {bash,zsh,fish}]
+
+   Options:
+      -h, --help            Show this help message and exit.
+      --completion {bash,zsh,fish}
+                            Output a shell completion script for the specified shell.
+
+A similar ``completion`` command can be added to the parser using the
+``:add_complete_command([value])`` method.
+
+Activating completions
+----------------------
+
+Bash
+^^^^
+
+Save the generated completion script at
+``~/.local/share/bash-completion/completions/script.lua`` or add the following
+line to the ``~/.bashrc``:
+
+.. code-block:: bash
+
+   source <(script.lua --completion bash)
+
+Zsh
+^^^
+
+The completion script should be placed in a directory in the ``$fpath``.  A new
+directory can be added to to the ``$fpath`` by adding e.g.
+``fpath=(~/.zfunc $fpath)`` in the ``~/.zshrc`` before ``compinit``. Save the
+completion script with:
+
+.. code-block:: none
+
+   $ script.lua --completion zsh > ~/.zfunc/_script.lua
+
+Fish
+^^^^
+
+Save the completion script at ``~/.config/fish/completions/script.lua.fish`` or
+add the following line to the file ``~/.config/fish/config.fish``:
+
+.. code-block:: fish
+
+   script.lua --completion fish | source
diff --git a/docsrc/index.rst b/docsrc/index.rst
index 0e8c6c0..e4d0de1 100644
--- a/docsrc/index.rst
+++ b/docsrc/index.rst
@@ -13,6 +13,7 @@ Contents:
    defaults
    callbacks
    messages
+   completions
    misc
 
 This is a tutorial for `argparse <https://github.com/mpeterv/argparse>`_, a feature-rich command line parser for Lua.