diff --git a/lib/rules/component-definition-name-casing.js b/lib/rules/component-definition-name-casing.js
index e227d4b99..c3a5cbc3d 100644
--- a/lib/rules/component-definition-name-casing.js
+++ b/lib/rules/component-definition-name-casing.js
@@ -77,8 +77,7 @@ module.exports = {
       }
     }
 
-    return Object.assign(
-      {},
+    return utils.compositingVisitors(
       utils.executeOnCallVueComponent(context, (node) => {
         if (node.arguments.length === 2) {
           const argument = node.arguments[0]
@@ -94,6 +93,17 @@ module.exports = {
         if (!node) return
         if (!canConvert(node.value)) return
         convertName(node.value)
+      }),
+      utils.defineScriptSetupVisitor(context, {
+        onDefineOptionsEnter(node) {
+          if (node.arguments.length === 0) return
+          const define = node.arguments[0]
+          if (define.type !== 'ObjectExpression') return
+          const nameNode = utils.findProperty(define, 'name')
+          if (!nameNode) return
+          if (!canConvert(nameNode.value)) return
+          convertName(nameNode.value)
+        }
       })
     )
   }
diff --git a/tests/lib/rules/component-definition-name-casing.js b/tests/lib/rules/component-definition-name-casing.js
index ef9cbde8b..2349f5d30 100644
--- a/tests/lib/rules/component-definition-name-casing.js
+++ b/tests/lib/rules/component-definition-name-casing.js
@@ -145,6 +145,26 @@ ruleTester.run('component-definition-name-casing', rule, {
       filename: 'test.js',
       code: `fn1(component.data)`,
       parserOptions
+    },
+    {
+      filename: 'test.vue',
+      code: `<script setup> defineOptions({}) </script>`,
+      parser: require.resolve('vue-eslint-parser'),
+      parserOptions
+    },
+    {
+      filename: 'test.vue',
+      code: `<script setup> defineOptions({name: 'FooBar'}) </script>`,
+      options: ['PascalCase'],
+      parser: require.resolve('vue-eslint-parser'),
+      parserOptions
+    },
+    {
+      filename: 'test.vue',
+      code: `<script setup> defineOptions({name: 'foo-bar'}) </script>`,
+      options: ['kebab-case'],
+      parser: require.resolve('vue-eslint-parser'),
+      parserOptions
     }
   ],
 
@@ -393,6 +413,34 @@ ruleTester.run('component-definition-name-casing', rule, {
           line: 1
         }
       ]
+    },
+    {
+      filename: 'test.vue',
+      code: `<script setup> defineOptions({name: 'foo-bar'}) </script>`,
+      output: `<script setup> defineOptions({name: 'FooBar'}) </script>`,
+      options: ['PascalCase'],
+      parser: require.resolve('vue-eslint-parser'),
+      parserOptions,
+      errors: [
+        {
+          message: 'Property name "foo-bar" is not PascalCase.',
+          line: 1
+        }
+      ]
+    },
+    {
+      filename: 'test.vue',
+      code: `<script setup> defineOptions({name: 'FooBar'}) </script>`,
+      output: `<script setup> defineOptions({name: 'foo-bar'}) </script>`,
+      options: ['kebab-case'],
+      parser: require.resolve('vue-eslint-parser'),
+      parserOptions,
+      errors: [
+        {
+          message: 'Property name "FooBar" is not kebab-case.',
+          line: 1
+        }
+      ]
     }
   ]
 })