diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 60b4d489..8c6a0bfc 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -28,7 +28,7 @@ jobs:
         os: [ubuntu-latest]
         python-version: ["3.8", "3.9", "3.10", "3.11", "3.12"]
         sphinx: [">=4.0,<=7.*"]  # Newest Sphinx (any)
-        myst-parser: [">=0.18.0,<=2.*"]  # Newest MyST Parser (any)
+        myst-parser: [">=1.0.0,<=2.*"]  # Newest MyST Parser (any)
         include:
           # Just check the other platforms once
           - os: windows-latest
@@ -43,7 +43,7 @@ jobs:
           - os: ubuntu-latest
             python-version: "3.8"
             sphinx: "~=4.0"
-            myst-parser: "~=0.18.0"
+            myst-parser: "~=0.19.0"
           # Newest known-compatible dependencies
           - os: ubuntu-latest
             python-version: "3.12"
diff --git a/pyproject.toml b/pyproject.toml
index 97c9dfac..db04e086 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -40,7 +40,7 @@ dependencies = [
     "ipython",
     "jupyter-cache>=0.5,<0.7",
     "nbclient",  # nbclient version pinned by jupyter-client
-    "myst-parser>=0.18.0",
+    "myst-parser>=1.0.0",
     "nbformat~=5.0",
     "pyyaml",
     "sphinx>=4",