Abstract: A vibration damping apparatus for an elevator system capable of reducing vibrations of an elevator car in the horizontal direction while preventing friction from occurring in driving mechanisms of an actuators. The apparatus includes magnetic actuators mounted fixedly on one of lower surface of a floor of an elevator car or a bottom member of a car supporting frame and corresponding magnetic pole members mounted on the other one. Vibration sensors are installed on the car floor or the bottom member of the car supporting frame. Detection signals of the sensors are inputted to a controller which responds thereto by controlling driving of the magnetic actuators so that vibration of the elevator car can be reduced.