diff --git a/src/Illuminate/Routing/Router.php b/src/Illuminate/Routing/Router.php
index 8f165acdfdbf..56ea8298ea44 100644
--- a/src/Illuminate/Routing/Router.php
+++ b/src/Illuminate/Routing/Router.php
@@ -328,8 +328,14 @@ public function apiResources(array $resources)
      */
     public function apiResource($name, $controller, array $options = [])
     {
+        $only = ['index', 'show', 'store', 'update', 'destroy'];
+
+        if (isset($options['except'])) {
+            $only = array_diff($only, (array) $options['except']);
+        }
+
         return $this->resource($name, $controller, array_merge([
-            'only' => ['index', 'show', 'store', 'update', 'destroy'],
+            'only' => $only,
         ], $options));
     }
 
diff --git a/tests/Routing/RouteRegistrarTest.php b/tests/Routing/RouteRegistrarTest.php
index c2a335f7bb8c..fc3ff0fd8198 100644
--- a/tests/Routing/RouteRegistrarTest.php
+++ b/tests/Routing/RouteRegistrarTest.php
@@ -269,6 +269,31 @@ public function testUserCanRegisterApiResource()
         $this->assertFalse($this->router->getRoutes()->hasNamedRoute('users.edit'));
     }
 
+    public function testUserCanRegisterApiResourceWithExceptOption()
+    {
+        $this->router->apiResource('users', \Illuminate\Tests\Routing\RouteRegistrarControllerStub::class, [
+            'except' => ['destroy'],
+        ]);
+
+        $this->assertCount(4, $this->router->getRoutes());
+
+        $this->assertFalse($this->router->getRoutes()->hasNamedRoute('users.create'));
+        $this->assertFalse($this->router->getRoutes()->hasNamedRoute('users.edit'));
+        $this->assertFalse($this->router->getRoutes()->hasNamedRoute('users.destroy'));
+    }
+
+    public function testUserCanRegisterApiResourceWithOnlyOption()
+    {
+        $this->router->apiResource('users', \Illuminate\Tests\Routing\RouteRegistrarControllerStub::class, [
+            'only' => ['index', 'show'],
+        ]);
+
+        $this->assertCount(2, $this->router->getRoutes());
+
+        $this->assertTrue($this->router->getRoutes()->hasNamedRoute('users.index'));
+        $this->assertTrue($this->router->getRoutes()->hasNamedRoute('users.show'));
+    }
+
     public function testCanNameRoutesOnRegisteredResource()
     {
         $this->router->resource('comments', 'Illuminate\Tests\Routing\RouteRegistrarControllerStub')