diff --git a/lib/util/Components.js b/lib/util/Components.js
index deb26dda56..9eb0f78282 100644
--- a/lib/util/Components.js
+++ b/lib/util/Components.js
@@ -689,6 +689,7 @@ function componentRule(rule, context) {
     getStatelessComponent(node) {
       if (
         node.type === 'FunctionDeclaration'
+        && node.id
         && isFirstLetterCapitalized(node.id.name)
         && utils.isReturningJSXOrNull(node)
       ) {
diff --git a/tests/lib/rules/prop-types.js b/tests/lib/rules/prop-types.js
index 0089d1c812..0020e9f84e 100644
--- a/tests/lib/rules/prop-types.js
+++ b/tests/lib/rules/prop-types.js
@@ -2569,6 +2569,11 @@ ruleTester.run('prop-types', rule, {
         return null;
       }`,
       parser: parsers.TYPESCRIPT_ESLINT
+    },
+    {
+      code: `
+      export default function() {}
+      `
     }
   ],