diff --git a/.github/actions/build_docs/action.yml b/.github/actions/build_docs/action.yml
index 9a2d7e1ec7..a7effad247 100644
--- a/.github/actions/build_docs/action.yml
+++ b/.github/actions/build_docs/action.yml
@@ -19,7 +19,7 @@ runs:
       shell: bash -euxo pipefail {0}
       run: ./script/linux
 
-    - name: Check for broken links
+    - name: Check for broken links (in MD)
       uses: lycheeverse/lychee-action@82202e5e9c2f4ef1a55a3d02563e1cb6041e5332 # v2.4.1
       with:
         args: --no-progress --exclude '^http' './docs/src/**/*'
@@ -30,3 +30,9 @@ runs:
       run: |
         mkdir -p target/deploy
         mdbook build ./docs --dest-dir=../target/deploy/docs/
+
+    - name: Check for broken links (in HTML)
+      uses: lycheeverse/lychee-action@82202e5e9c2f4ef1a55a3d02563e1cb6041e5332 # v2.4.1
+      with:
+        args: --no-progress --exclude '^http' 'target/deploy/docs/'
+        fail: true