diff --git a/types/redux-devtools/index.d.ts b/types/redux-devtools/index.d.ts
index e457839d2f..bac8d3e962 100644
--- a/types/redux-devtools/index.d.ts
+++ b/types/redux-devtools/index.d.ts
@@ -5,15 +5,15 @@
 // TypeScript Version: 3.0
 
 import * as React from 'react';
-import { GenericStoreEnhancer } from 'redux';
+import { StoreEnhancer } from 'redux';
 
 export interface IDevTools {
     new (): JSX.ElementClass;
-    instrument(): GenericStoreEnhancer
+    instrument(): StoreEnhancer
 }
 
 export declare function createDevTools(el: React.ReactElement): IDevTools;
-export declare function persistState(debugSessionKey: string): GenericStoreEnhancer;
+export declare function persistState(debugSessionKey: string): StoreEnhancer;
 
 declare const factory: { instrument(): (opts: any) => any };
 
diff --git a/types/redux-devtools/package.json b/types/redux-devtools/package.json
index 6d68bf2f9b..3513bc4cf0 100644
--- a/types/redux-devtools/package.json
+++ b/types/redux-devtools/package.json
@@ -1,6 +1,6 @@
 {
     "private": true,
     "dependencies": {
-        "redux": "^3.6.0"
+        "redux": "^4.0.4"
     }
 }
diff --git a/types/redux-devtools/redux-devtools-tests.tsx b/types/redux-devtools/redux-devtools-tests.tsx
index d489e9b960..2794bd86c5 100644
--- a/types/redux-devtools/redux-devtools-tests.tsx
+++ b/types/redux-devtools/redux-devtools-tests.tsx
@@ -1,9 +1,9 @@
 import * as React from 'react'
-import { compose, createStore, Reducer, Store, GenericStoreEnhancer } from 'redux'
+import { compose, createStore, Reducer, Store, StoreEnhancer } from 'redux'
 import { Provider } from 'react-redux'
 import { createDevTools, persistState } from 'redux-devtools'
 
-declare var reducer: Reducer<any>
+declare var reducer: Reducer
 
 class DevToolsMonitor extends React.Component {
 }
@@ -15,7 +15,7 @@ const DevTools = createDevTools(
 const storeEnhancer = compose(
   DevTools.instrument(),
   persistState('test-session')
-) as GenericStoreEnhancer
+) as StoreEnhancer
 
 const finalCreateStore = storeEnhancer(createStore)