diff --git a/packages/eslint/src/generators/lint-project/lint-project.ts b/packages/eslint/src/generators/lint-project/lint-project.ts
index 6ff40663bb8d8..545b0dcbcc47a 100644
--- a/packages/eslint/src/generators/lint-project/lint-project.ts
+++ b/packages/eslint/src/generators/lint-project/lint-project.ts
@@ -273,7 +273,8 @@ function createEsLintConfiguration(
     });
     const nodeList = createNodeList(importMap, nodes);
     const content = stringifyNodeList(nodeList);
-    tree.write(join(projectConfig.root, 'eslint.config.js'), content);
+    const ext = extendedRootConfig?.endsWith('.cjs') ? '.cjs' : '.js';
+    tree.write(join(projectConfig.root, `eslint.config${ext}`), content);
   } else {
     writeJson(tree, join(projectConfig.root, `.eslintrc.json`), {
       extends: extendedRootConfig ? [pathToRootConfig] : undefined,
diff --git a/packages/eslint/src/generators/utils/eslint-file.ts b/packages/eslint/src/generators/utils/eslint-file.ts
index 2db5e49f3f469..ee7e052ed253f 100644
--- a/packages/eslint/src/generators/utils/eslint-file.ts
+++ b/packages/eslint/src/generators/utils/eslint-file.ts
@@ -64,7 +64,11 @@ export function isEslintConfigSupported(tree: Tree, projectRoot = ''): boolean {
   if (!eslintFile) {
     return false;
   }
-  return eslintFile.endsWith('.json') || eslintFile.endsWith('.config.js');
+  return (
+    eslintFile.endsWith('.json') ||
+    eslintFile.endsWith('.config.js') ||
+    eslintFile.endsWith('.config.cjs')
+  );
 }
 
 export function updateRelativePathsInConfig(