Yes, the Wii Remote Plus is fully compatible with Wii Sports Resort—in fact, it's the recommended controller.
You can also use an original Wii Remote with a clip-on MotionPlus accessory (model RVL-004), but the Wii Remote Plus is more convenient, lighter, and less prone to disconnection.
Note: The Wii Remote Plus is also required for later games like The Legend of Zelda: Skyward Sword, Wii Play: Motion, and Red Steel 2.