diff --git a/Library/Homebrew/env_config.rb b/Library/Homebrew/env_config.rb
index 15dbc862c486f7185a46e7e9d9f60e9447f597e5..893bc26bc327562ffc96161db92d0b09e022d6a2 100644
--- a/Library/Homebrew/env_config.rb
+++ b/Library/Homebrew/env_config.rb
@@ -146,9 +146,9 @@ module Homebrew
         description: "Use this personal access token for the GitHub API, for features such as " \
                      "`brew search`. You can create one at <https://github.com/settings/tokens>. If set, " \
                      "GitHub will allow you a greater number of API requests. For more information, see: " \
-                     "<https://developer.github.com/v3/#rate-limiting>\n\n    *Note:* Homebrew doesn't " \
-                     "require permissions for any of the scopes, but some developer commands may require " \
-                     "additional permissions.",
+                     "<https://docs.github.com/en/rest/overview/resources-in-the-rest-api#rate-limiting>.\n\n" \
+                     "    *Note:* Homebrew doesn't require permissions for any of the scopes, but some developer " \
+                     "commands may require additional permissions.",
       },
       HOMEBREW_GITHUB_API_USERNAME:       {
         description: "Use this username for authentication with the GitHub API, for features " \
diff --git a/docs/Manpage.md b/docs/Manpage.md
index d61329d575ad0395da2681f564a6e6362eadff34..feae36f19ddf179b117d3212ec201c5cf43649ff 100644
--- a/docs/Manpage.md
+++ b/docs/Manpage.md
@@ -1478,7 +1478,7 @@ Note that environment variables must have a value set to be detected. For exampl
     Use this password for authentication with the GitHub API, for features such as `brew search`. We strongly recommend using `HOMEBREW_GITHUB_API_TOKEN` instead.
 
   * `HOMEBREW_GITHUB_API_TOKEN`:
-    Use this personal access token for the GitHub API, for features such as `brew search`. You can create one at <https://github.com/settings/tokens>. If set, GitHub will allow you a greater number of API requests. For more information, see: <https://developer.github.com/v3/#rate-limiting>
+    Use this personal access token for the GitHub API, for features such as `brew search`. You can create one at <https://github.com/settings/tokens>. If set, GitHub will allow you a greater number of API requests. For more information, see: <https://docs.github.com/en/rest/overview/resources-in-the-rest-api#rate-limiting>.
 
     *Note:* Homebrew doesn't require permissions for any of the scopes, but some developer commands may require additional permissions.
 
diff --git a/manpages/brew.1 b/manpages/brew.1
index cd639fd4c2f33bfc7c6832ef4653d780d16e8fbf..70cbb6894cea830a04d63d518224a4cf58a75a2a 100644
--- a/manpages/brew.1
+++ b/manpages/brew.1
@@ -1932,7 +1932,7 @@ Use this password for authentication with the GitHub API, for features such as \
 .
 .TP
 \fBHOMEBREW_GITHUB_API_TOKEN\fR
-Use this personal access token for the GitHub API, for features such as \fBbrew search\fR\. You can create one at \fIhttps://github\.com/settings/tokens\fR\. If set, GitHub will allow you a greater number of API requests\. For more information, see: \fIhttps://developer\.github\.com/v3/#rate\-limiting\fR
+Use this personal access token for the GitHub API, for features such as \fBbrew search\fR\. You can create one at \fIhttps://github\.com/settings/tokens\fR\. If set, GitHub will allow you a greater number of API requests\. For more information, see: \fIhttps://docs\.github\.com/en/rest/overview/resources\-in\-the\-rest\-api#rate\-limiting\fR\.
 .
 .IP
 \fINote:\fR Homebrew doesn\'t require permissions for any of the scopes, but some developer commands may require additional permissions\.