diff --git a/.github/workflows/link-check.yaml b/.github/workflows/link-check.yaml
new file mode 100644
index 0000000..2d0f0e4
--- /dev/null
+++ b/.github/workflows/link-check.yaml
@@ -0,0 +1,24 @@
+---
+name: link-check
+on:  # yamllint disable-line rule:truthy
+  # Schedule check each day at 8 UTC
+  schedule: [{cron: "0 8 * * *"}]
+  workflow_dispatch:
+  pull_request:
+  push:
+    branches:
+      - main
+
+jobs:
+  markdown-link-check:
+    name: Markdown link check
+    runs-on: ubuntu-20.04
+
+    steps:
+      - name: Checkout repo
+        uses: actions/checkout@v3
+      - name: Check markdown links
+        uses: gaurav-nelson/github-action-markdown-link-check@v1
+        with:
+          file-path: './README.md'
+          config-file: './mlc_config.json'
diff --git a/Taskfile.yaml b/Taskfile.yaml
index a3a610f..ac625ed 100644
--- a/Taskfile.yaml
+++ b/Taskfile.yaml
@@ -20,6 +20,10 @@ tasks:
     cmds:
       - task: awesome-lint
       - task: yamllint
+  linkcheck:
+    desc: Check for dead links
+    cmds:
+      - ./scripts/linkcheck.sh
   render:
     desc: Render README.md
     cmds:
diff --git a/mlc_config.json b/mlc_config.json
new file mode 100644
index 0000000..d0acbcf
--- /dev/null
+++ b/mlc_config.json
@@ -0,0 +1,3 @@
+{
+  "aliveStatusCodes": [200, 206, 403, 429]
+}
diff --git a/scripts/linkcheck.sh b/scripts/linkcheck.sh
new file mode 100755
index 0000000..7cb2035
--- /dev/null
+++ b/scripts/linkcheck.sh
@@ -0,0 +1,8 @@
+#!/bin/bash
+set -e
+set -o pipefail
+DIR=$( cd "$( dirname "${BASH_SOURCE[0]}" )/../" >/dev/null 2>&1 && pwd )
+readonly DIR
+for f in $(find "${DIR}" -name \*.md); do
+  docker run --rm -v /:/tmp:ro -i -w /tmp ghcr.io/tcort/markdown-link-check:stable "/tmp${f}" -c "/tmp${DIR}/mlc_config.json" || exit 1
+done