diff --git a/.github/workflows/readme.yml b/.github/workflows/readme.yml
new file mode 100644
index 0000000..586b467
--- /dev/null
+++ b/.github/workflows/readme.yml
@@ -0,0 +1,26 @@
+name: README Lints
+
+# This matches the Maturin rules
+
+on:
+  push:
+    branches:
+      - main
+      - master
+    tags:
+      - '*'
+  pull_request:
+  workflow_dispatch:
+
+jobs:
+  rst:
+    name: Validate README
+    runs-on: ubuntu-latest
+    steps:
+      - name: "Checkout code"
+        uses: actions/checkout@v4
+
+      - name: "Run rst2html"
+        run: |
+          pip install docutils
+          rst2html README.rst >/dev/null