diff --git a/package.json b/package.json
index 2eddc2c8..3044a7e1 100644
--- a/package.json
+++ b/package.json
@@ -31,8 +31,9 @@
     "prop-types": "^15.7.2"
   },
   "peerDependencies": {
-    "immutable": "^3.8.1 || ^4.0.0-rc.1",
     "history": "^4.7.2",
+    "immutable": "^3.8.1 || ^4.0.0-rc.1",
+    "lodash.isequalwith": "^4.4.0",
     "react": "^16.4.0",
     "react-redux": "^6.0.0 || ^7.1.0",
     "react-router": "^4.3.1 || ^5.0.0",
diff --git a/src/ConnectedRouter.js b/src/ConnectedRouter.js
index 58d1426b..a2957634 100644
--- a/src/ConnectedRouter.js
+++ b/src/ConnectedRouter.js
@@ -2,6 +2,7 @@ import React, { PureComponent } from 'react'
 import PropTypes from 'prop-types'
 import { connect, ReactReduxContext } from 'react-redux'
 import { Router } from 'react-router'
+import isEqualWith from 'lodash.isequalwith'
 import { onLocationChanged } from './actions'
 import createSelectors from './selectors'
 
@@ -18,7 +19,7 @@ const createConnectedRouter = (structure) => {
     constructor(props) {
       super(props)
 
-      const { store, history, onLocationChanged } = props
+      const { store, history, onLocationChanged, stateCompareFunction } = props
 
       this.inTimeTravelling = false
 
@@ -45,7 +46,7 @@ const createConnectedRouter = (structure) => {
           (pathnameInHistory !== pathnameInStore ||
             searchInHistory !== searchInStore ||
             hashInHistory !== hashInStore ||
-            stateInStore !== stateInHistory)
+            !isEqualWith(stateInStore, stateInHistory, stateCompareFunction))
         ) {
           this.inTimeTravelling = true
           // Update history's location to match store's location
@@ -109,6 +110,7 @@ const createConnectedRouter = (structure) => {
     children: PropTypes.oneOfType([ PropTypes.func, PropTypes.node ]),
     onLocationChanged: PropTypes.func.isRequired,
     noInitialPop: PropTypes.bool,
+    stateCompareFunction: PropTypes.func,
   }
 
   const mapDispatchToProps = dispatch => ({
diff --git a/test/ConnectedRouter.test.js b/test/ConnectedRouter.test.js
index 9c15ccd5..3deb5103 100644
--- a/test/ConnectedRouter.test.js
+++ b/test/ConnectedRouter.test.js
@@ -9,7 +9,7 @@ import { createMemoryHistory } from 'history'
 import { Route } from 'react-router'
 import { Provider } from 'react-redux'
 import createConnectedRouter from '../src/ConnectedRouter'
-import { onLocationChanged } from '../src/actions'
+import { onLocationChanged, LOCATION_CHANGE } from '../src/actions'
 import plainStructure from '../src/structure/plain'
 import immutableStructure from '../src/structure/immutable'
 import seamlessImmutableStructure from '../src/structure/seamless-immutable'
@@ -136,6 +136,170 @@ describe('ConnectedRouter', () => {
       expect(onLocationChangedSpy.mock.calls[1][0].state).toEqual({ foo: 'bar'})
     })
 
+    it('updates history when store location state changes', () => {
+      store = createStore(
+        combineReducers({
+          router: connectRouter(props.history)
+        }),
+        compose(applyMiddleware(routerMiddleware(props.history)))
+      )
+      
+      mount(
+        <Provider store={store}>
+          <ConnectedRouter {...props}>
+            <Route path="/" render={() => <div>Home</div>} />
+          </ConnectedRouter>
+        </Provider>
+      )
+
+      // Need to add PUSH action to history because initial POP action prevents history updates
+      props.history.push({ pathname: "/" })
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'bar' }
+          },
+          action: 'PUSH',
+        }
+      })
+
+      expect(props.history.entries).toHaveLength(3)
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'baz' }
+          },
+          action: 'PUSH',
+        }
+      })
+
+      expect(props.history.entries).toHaveLength(4)
+    })
+
+    it('does not update history when store location state is unchanged', () => {
+      store = createStore(
+        combineReducers({
+          router: connectRouter(props.history)
+        }),
+        compose(applyMiddleware(routerMiddleware(props.history)))
+      )
+      
+      mount(
+        <Provider store={store}>
+          <ConnectedRouter {...props}>
+            <Route path="/" render={() => <div>Home</div>} />
+          </ConnectedRouter>
+        </Provider>
+      )
+
+      // Need to add PUSH action to history because initial POP action prevents history updates
+      props.history.push({ pathname: "/" })
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'bar' }
+          },
+          action: 'PUSH',
+        }
+      })
+
+      expect(props.history.entries).toHaveLength(3)
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'bar' }
+          },
+          action: 'PUSH',
+        }
+      })
+
+      expect(props.history.entries).toHaveLength(3)
+    })
+
+    it('supports custom location state compare function', () => {
+      store = createStore(
+        combineReducers({
+          router: connectRouter(props.history)
+        }),
+        compose(applyMiddleware(routerMiddleware(props.history)))
+      )
+      
+      mount(
+        <Provider store={store}>
+          <ConnectedRouter
+            stateCompareFunction={(storeState, historyState) => {
+              // If the store and history states are not undefined,
+              // prevent history from updating when 'baz' is added to the store after 'bar'
+              if (storeState !== undefined && historyState !== undefined) {
+                if (storeState.foo === "baz" && historyState.foo === 'bar') {
+                  return true
+                }
+              }
+
+              // Otherwise return a normal object comparison result
+              return JSON.stringify(storeState) === JSON.stringify(historyState)
+            }}
+            {...props}
+          >
+            <Route path="/" render={() => <div>Home</div>} />
+          </ConnectedRouter>
+        </Provider>
+      )
+
+      // Need to add PUSH action to history because initial POP action prevents history updates
+      props.history.push({ pathname: "/" })
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'bar' }
+          },
+          action: 'PUSH',
+        }
+      })
+			
+      expect(props.history.entries).toHaveLength(3)
+
+      store.dispatch({
+        type: LOCATION_CHANGE,
+        payload: {
+          location: {
+            pathname: '/',
+            search: '',
+            hash: '',
+            state: { foo: 'baz' }
+          },
+          action: 'PUSH',
+        }
+      })
+
+      expect(props.history.entries).toHaveLength(3)
+    })
+
     it('only renders one time when mounted', () => {
       let renderCount = 0
 
diff --git a/yarn.lock b/yarn.lock
index 78853479..d889e586 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -4733,6 +4733,11 @@ lodash.flattendeep@^4.4.0:
   resolved "https://registry.yarnpkg.com/lodash.flattendeep/-/lodash.flattendeep-4.4.0.tgz#fb030917f86a3134e5bc9bec0d69e0013ddfedb2"
   integrity sha1-+wMJF/hqMTTlvJvsDWngAT3f7bI=
 
+lodash.isequalwith@^4.4.0:
+  version "4.4.0"
+  resolved "https://registry.yarnpkg.com/lodash.isequalwith/-/lodash.isequalwith-4.4.0.tgz#266726ddd528f854f21f4ea98a065606e0fbc6b0"
+  integrity sha1-Jmcm3dUo+FTyH06pigZWBuD7xrA=
+
 lodash.isplainobject@^4.0.6:
   version "4.0.6"
   resolved "https://registry.yarnpkg.com/lodash.isplainobject/-/lodash.isplainobject-4.0.6.tgz#7c526a52d89b45c45cc690b88163be0497f550cb"