diff --git a/packages/react-router/modules/Route.js b/packages/react-router/modules/Route.js
index 64ac8a947c..a52ac918c4 100644
--- a/packages/react-router/modules/Route.js
+++ b/packages/react-router/modules/Route.js
@@ -24,10 +24,36 @@ function evalChildrenDev(children, props, path) {
   return value || null;
 }
 
+function deepEqual(x, y) {
+  if (x === y) return true;
+
+  if (
+    typeof x === "object" &&
+    x !== null &&
+    typeof y === "object" &&
+    y !== null
+  ) {
+    const xKeys = Object.keys(x);
+    const yKeys = Object.keys(y);
+
+    if (xKeys.length !== yKeys.length) return false;
+
+    for (const key of xKeys) {
+      if (!(yKeys.includes(key) && deepEqual(x[key], y[key]))) return false;
+    }
+
+    return true;
+  }
+
+  return false;
+}
+
 /**
  * The public API for matching a single path and rendering.
  */
 class Route extends React.Component {
+  _prevMatch = null;
+
   render() {
     return (
       <RouterContext.Consumer>
@@ -35,11 +61,14 @@ class Route extends React.Component {
           invariant(context, "You should not use <Route> outside a <Router>");
 
           const location = this.props.location || context.location;
-          const match = this.props.computedMatch
+          let match = this.props.computedMatch
             ? this.props.computedMatch // <Switch> already computed the match for us
             : this.props.path
             ? matchPath(location.pathname, this.props)
             : context.match;
+          // Reuse the same object if possible so that optimizations like React.PureComponent or React.memo won't be broken
+          match = deepEqual(match, this._prevMatch) ? this._prevMatch : match;
+          this._prevMatch = match;
 
           const props = { ...context, location, match };
 
diff --git a/packages/react-router/modules/__tests__/Route-test.js b/packages/react-router/modules/__tests__/Route-test.js
index 9825b803eb..ca7daf04be 100644
--- a/packages/react-router/modules/__tests__/Route-test.js
+++ b/packages/react-router/modules/__tests__/Route-test.js
@@ -1,9 +1,10 @@
-import React from "react";
+import React, { useState, useEffect, memo } from "react";
 import ReactDOM from "react-dom";
 import { createMemoryHistory as createHistory } from "history";
 import { MemoryRouter, Router, Route } from "react-router";
 
 import renderStrict from "./utils/renderStrict.js";
+import { act } from "react-dom/test-utils";
 
 describe("A <Route>", () => {
   const node = document.createElement("div");
@@ -536,6 +537,44 @@ describe("A <Route>", () => {
 
       expect(console.error).not.toHaveBeenCalled();
     });
+
+    it("should not break optimizations like React.PureComponent or React.memo by passing a different object every time", () => {
+      const SubRoute = jest.fn(function SubRoute(props) {
+        return (
+          <div>
+            some very expensive contents for subpath:
+            {props.match.params.subPath}
+          </div>
+        );
+      });
+      const MemorizedSubRoute = memo(SubRoute);
+
+      function MainRoute() {
+        const [text, setText] = useState("default text");
+        useEffect(() => {
+          setText("updated text");
+        }, []);
+
+        return (
+          <div>
+            <div>some common widget with text: {text}</div>
+            <Route path="/:subpath" component={MemorizedSubRoute} />
+          </div>
+        );
+      }
+
+      act(() => {
+        renderStrict(
+          <MemoryRouter initialEntries={["/one"]}>
+            <Route path="/" component={MainRoute} />
+          </MemoryRouter>,
+          node
+        );
+      });
+
+      // When MainRoute updates, but the URL haven't changed, should not pass a different props.match object and force SubRoute to re-render
+      expect(SubRoute).toHaveBeenCalledTimes(1);
+    });
   });
 
   describe("the `render` prop", () => {