diff --git a/completions/bash/brew b/completions/bash/brew
index 42d694978e..270e544827 100644
--- a/completions/bash/brew
+++ b/completions/bash/brew
@@ -1909,6 +1909,7 @@ _brew_tap() {
       --force-auto-update
       --help
       --list-pinned
+      --no-force-auto-update
       --quiet
       --repair
       --verbose
diff --git a/completions/fish/brew.fish b/completions/fish/brew.fish
index 29458d78f6..99c24a7f63 100644
--- a/completions/fish/brew.fish
+++ b/completions/fish/brew.fish
@@ -1304,6 +1304,7 @@ __fish_brew_complete_arg 'tap' -l debug -d 'Display any debugging information'
 __fish_brew_complete_arg 'tap' -l force-auto-update -d 'Auto-update tap even if it is not hosted on GitHub. By default, only taps hosted on GitHub are auto-updated (for performance reasons)'
 __fish_brew_complete_arg 'tap' -l help -d 'Show this message'
 __fish_brew_complete_arg 'tap' -l list-pinned -d 'List all pinned taps'
+__fish_brew_complete_arg 'tap' -l no-force-auto-update -d 'Auto-update tap even if it is not hosted on GitHub. By default, only taps hosted on GitHub are auto-updated (for performance reasons)'
 __fish_brew_complete_arg 'tap' -l quiet -d 'Make some output more quiet'
 __fish_brew_complete_arg 'tap' -l repair -d 'Migrate tapped formulae from symlink-based to directory-based structure'
 __fish_brew_complete_arg 'tap' -l verbose -d 'Make some output more verbose'
diff --git a/completions/zsh/_brew b/completions/zsh/_brew
index e83fa9dcc9..e549320b47 100644
--- a/completions/zsh/_brew
+++ b/completions/zsh/_brew
@@ -1593,6 +1593,7 @@ _brew_tap() {
     '--force-auto-update[Auto-update tap even if it is not hosted on GitHub. By default, only taps hosted on GitHub are auto-updated (for performance reasons)]' \
     '--help[Show this message]' \
     '--list-pinned[List all pinned taps]' \
+    '--no-force-auto-update[Auto-update tap even if it is not hosted on GitHub. By default, only taps hosted on GitHub are auto-updated (for performance reasons)]' \
     '--quiet[Make some output more quiet]' \
     '--repair[Migrate tapped formulae from symlink-based to directory-based structure]' \
     '--verbose[Make some output more verbose]' \
diff --git a/docs/Manpage.md b/docs/Manpage.md
index 2ac4e00829..0746bea4f8 100644
--- a/docs/Manpage.md
+++ b/docs/Manpage.md
@@ -620,7 +620,7 @@ simplifies but also limits. This two-argument command makes no
 assumptions, so taps can be cloned from places other than GitHub and
 using protocols other than HTTPS, e.g. SSH, git, HTTP, FTP(S), rsync.
 
-* `--force-auto-update`:
+* `--[no-]force-auto-update`:
   Auto-update tap even if it is not hosted on GitHub. By default, only taps hosted on GitHub are auto-updated (for performance reasons).
 * `--custom-remote`:
   Install or change a tap with a custom remote. Useful for mirrors.
diff --git a/manpages/brew.1 b/manpages/brew.1
index 59dabce4ef..096d9f2c72 100644
--- a/manpages/brew.1
+++ b/manpages/brew.1
@@ -859,7 +859,7 @@ With \fIURL\fR unspecified, tap a formula repository from GitHub using HTTPS\. S
 With \fIURL\fR specified, tap a formula repository from anywhere, using any transport protocol that \fBgit\fR(1) handles\. The one\-argument form of \fBtap\fR simplifies but also limits\. This two\-argument command makes no assumptions, so taps can be cloned from places other than GitHub and using protocols other than HTTPS, e\.g\. SSH, git, HTTP, FTP(S), rsync\.
 .
 .TP
-\fB\-\-force\-auto\-update\fR
+\fB\-\-[no\-]force\-auto\-update\fR
 Auto\-update tap even if it is not hosted on GitHub\. By default, only taps hosted on GitHub are auto\-updated (for performance reasons)\.
 .
 .TP