diff --git a/packages/sw-routing/src/lib/router.js b/packages/sw-routing/src/lib/router.js
index e8964dcc9..52c92c28d 100644
--- a/packages/sw-routing/src/lib/router.js
+++ b/packages/sw-routing/src/lib/router.js
@@ -50,68 +50,19 @@ import logHelper from '../../../../lib/log-helper.js';
  */
 class Router {
   /**
-   * An optional default handler will have its handle method called when a
-   * request doesn't have a matching route.
-   *
-   * @example
-   * router.setDefaultHandler({
-   *   handler: new goog.runtimeCaching.NetworkFirst()
-   * });
-   *
-   * @param {Object} input
-   * @param {Object} input.handler An Object with a `handle` method.
-   */
-  setDefaultHandler({handler} = {}) {
-    assert.hasMethod({handler}, 'handle');
-
-    this.defaultHandler = handler;
-  }
-
-  /**
-   * If a Route throws an error while handling a request, this catch handler
-   * will be called to return an error case.
-   *
-   * @example
-   * router.setCatchHandler({
-   *   handler: ({event, params}) => {
-   *     return caches.match('/error-page.html');
-   *   }
-   * });
-   *
-   * @param {Object} input
-   * @param {Object} input.handler An Object with a `handle` method.
+   * Start with an empty array of routes, and set up the fetch handler.
    */
-  setCatchHandler({handler} = {}) {
-    assert.hasMethod({handler}, 'handle');
-
-    this.catchHandler = handler;
-  }
-
-  /**
-   * Register routes will take an array of Routes to register with the
-   * router.
-   *
-   * @example
-   * router.registerRoutes({
-   *   routes: [
-   *     new RegExpRoute({ ... }),
-   *     new ExpressRoute({ ... }),
-   *     new Route({ ... }),
-   *   ]
-   * });
-   *
-   * @param {Object} input
-   * @param {Array.<Route>} input.routes An array of routes to register.
-   */
-  registerRoutes({routes} = {}) {
-    assert.isArrayOfClass({routes}, Route);
+  constructor() {
+    // _routes will contain a mapping of HTTP method name ('GET', etc.) to an
+    // array of all the corresponding Route instances that are registered.
+    this._routes = new Map();
 
     self.addEventListener('fetch', (event) => {
       const url = new URL(event.request.url);
       if (!url.protocol.startsWith('http')) {
         logHelper.log({
           that: this,
-          message: 'URL does not start with HTTP and so not parsing ' +
+          message: 'URL does not start with HTTP and so not passing ' +
             'through the router.',
           data: {
             request: event.request,
@@ -122,11 +73,7 @@ class Router {
 
       let responsePromise;
       let matchingRoute;
-      for (let route of (routes || [])) {
-        if (route.method !== event.request.method) {
-          continue;
-        }
-
+      for (let route of (this._routes.get(event.request.method) || [])) {
         const matchResult = route.match({url, event});
         if (matchResult) {
           matchingRoute = route;
@@ -151,7 +98,6 @@ class Router {
             params = undefined;
           }
 
-          matchingRoute = route;
           responsePromise = route.handler.handle({url, event, params});
           break;
         }
@@ -169,23 +115,90 @@ class Router {
 
       if (responsePromise) {
         event.respondWith(responsePromise
-        .then((response) => {
-          logHelper.debug({
-            that: this,
-            message: 'The router is managing a route with a response.',
-            data: {
-              route: matchingRoute,
-              request: event.request,
-              response: response,
-            },
-          });
-
-          return response;
-        }));
+          .then((response) => {
+            logHelper.debug({
+              that: this,
+              message: 'The router is managing a route with a response.',
+              data: {
+                route: matchingRoute,
+                request: event.request,
+                response: response,
+              },
+            });
+
+            return response;
+          }));
       }
     });
   }
 
+  /**
+   * An optional default handler will have its handle method called when a
+   * request doesn't have a matching route.
+   *
+   * @example
+   * router.setDefaultHandler({
+   *   handler: new goog.runtimeCaching.NetworkFirst()
+   * });
+   *
+   * @param {Object} input
+   * @param {Object} input.handler An Object with a `handle` method.
+   */
+  setDefaultHandler({handler} = {}) {
+    assert.hasMethod({handler}, 'handle');
+
+    this.defaultHandler = handler;
+  }
+
+  /**
+   * If a Route throws an error while handling a request, this catch handler
+   * will be called to return an error case.
+   *
+   * @example
+   * router.setCatchHandler({
+   *   handler: ({event, params}) => {
+   *     return caches.match('/error-page.html');
+   *   }
+   * });
+   *
+   * @param {Object} input
+   * @param {Object} input.handler An Object with a `handle` method.
+   */
+  setCatchHandler({handler} = {}) {
+    assert.hasMethod({handler}, 'handle');
+
+    this.catchHandler = handler;
+  }
+
+  /**
+   * Register routes will take an array of Routes to register with the
+   * router.
+   *
+   * @example
+   * router.registerRoutes({
+   *   routes: [
+   *     new RegExpRoute({ ... }),
+   *     new ExpressRoute({ ... }),
+   *     new Route({ ... }),
+   *   ]
+   * });
+   *
+   * @param {Object} input
+   * @param {Array.<Route>} input.routes An array of routes to register.
+   */
+  registerRoutes({routes} = {}) {
+    assert.isArrayOfClass({routes}, Route);
+
+    for (let route of routes) {
+      if (!this._routes.has(route.method)) {
+        this._routes.set(route.method, []);
+      }
+
+      // Give precedence to the most recent route by listing it first.
+      this._routes.get(route.method).unshift(route);
+    }
+  }
+
   /**
    * Registers a single route with the router.
    *