diff --git a/.changeset/nasty-suits-study.md b/.changeset/nasty-suits-study.md
new file mode 100644
index 000000000..bea857e3a
--- /dev/null
+++ b/.changeset/nasty-suits-study.md
@@ -0,0 +1,6 @@
+---
+"myst-cli": patch
+"mystmd": patch
+---
+
+Suppress punycode deprecation warning
diff --git a/packages/myst-cli/src/build/site/logger.ts b/packages/myst-cli/src/build/site/logger.ts
index 763ea5629..8d334b367 100644
--- a/packages/myst-cli/src/build/site/logger.ts
+++ b/packages/myst-cli/src/build/site/logger.ts
@@ -32,6 +32,8 @@ export function createServerLogger(session: ISession, ready: () => void): Logger
       // This is a spurious Remix warning https://github.com/remix-run/remix/issues/2677
       if (line.includes('is not listed in your package.json dependencies')) return;
       if (line.includes('was not found in your node_modules')) return;
+      // This is the punycode deprecation warning
+      if (line.includes('--trace-deprecation') || line.includes('DEP0040')) return;
       if (line.startsWith('Rebuilding')) {
         session.log.debug(line);
         return;
diff --git a/packages/mystmd/src/index.ts b/packages/mystmd/src/index.ts
index d08353bb8..144f9b5d8 100644
--- a/packages/mystmd/src/index.ts
+++ b/packages/mystmd/src/index.ts
@@ -1,5 +1,17 @@
 #!/usr/bin/env node
 import 'core-js/actual'; // This adds backwards compatible functionality for various CLIs
+
+// This suppresses the punycode deprecation warning
+// https://github.com/jupyter-book/mystmd/issues/1166
+const { emit: originalEmit } = process;
+function suppressor(event: string, error: Error) {
+  return event === 'warning' && error.name === 'DeprecationWarning'
+    ? false
+    : // eslint-disable-next-line prefer-rest-params
+      originalEmit.apply(process, arguments);
+}
+(process as any).emit = suppressor;
+
 import { Command } from 'commander';
 import version from './version.js';
 import { makeBuildCLI } from './build.js';