A noise reduction apparatus for an electric power steering system may include a worm wheel rotatably and integrally coupled to a steering shaft connected to a steering wheel; a worm gear shaft to be rotatably operated by rotational force of an electric motor and formed with a worm gear to be meshed with the worm wheel; a tilt bearing provided between the worm gear shaft and the electric motor to rotatably support one end of the worm gear shaft; a support bearing for rotatably supporting the other end of the worm gear shaft; a plurality of pressing pins for pressing the support bearing; and a plurality of elastic members for elastically supporting the plurality of pressing pins respectively.