diff --git a/packages/eslint-plugin-react-hooks/__tests__/ESLintRulesOfHooks-test.js b/packages/eslint-plugin-react-hooks/__tests__/ESLintRulesOfHooks-test.js
index 3d60a36824d2..a4853cb46149 100644
--- a/packages/eslint-plugin-react-hooks/__tests__/ESLintRulesOfHooks-test.js
+++ b/packages/eslint-plugin-react-hooks/__tests__/ESLintRulesOfHooks-test.js
@@ -74,6 +74,19 @@ const allTests = {
         }
       `,
     },
+    {
+      code: normalizeIndent`
+        // Valid because components can be static members.
+        function MyComponent() {
+          return <MyComponent.Ready />;
+        }
+
+        MyComponent.Ready = () => {
+          useHook();
+          return null;
+        };
+      `,
+    },
     {
       code: normalizeIndent`
         // Valid because hooks can use hooks.
diff --git a/packages/eslint-plugin-react-hooks/src/rules/RulesOfHooks.ts b/packages/eslint-plugin-react-hooks/src/rules/RulesOfHooks.ts
index ca82c99e2f55..77ecce7e22f7 100644
--- a/packages/eslint-plugin-react-hooks/src/rules/RulesOfHooks.ts
+++ b/packages/eslint-plugin-react-hooks/src/rules/RulesOfHooks.ts
@@ -55,7 +55,12 @@ function isHook(node: Node): boolean {
  * always start with an uppercase letter.
  */
 function isComponentName(node: Node): boolean {
-  return node.type === 'Identifier' && /^[A-Z]/.test(node.name);
+  return (
+    (node.type === 'Identifier' && /^[A-Z]/.test(node.name)) ||
+    (node.type === 'MemberExpression' &&
+      !node.computed &&
+      isComponentName(node.property))
+  );
 }
 
 function isReactFunction(node: Node, functionName: string): boolean {