This invention relates to an automobile wheel having a vibration damping function. The automobile wheel includes a disk member connected with an axle hub and a rim member for mounting a tire. A hub cap is to be attached to or detached from one side of the disk member. A vibration damping plate in a shape corresponding to the hub cap is placed on one side of the hub cap to be in contact with the disk member. Vibration damping bushings are positioned at the vibration damping plate to be in contact with the disk member. The vibration damping plate and vibration damping bushings work together to attenuate vibration of the wheel.