There is provided an electric power steering apparatus having an electric motor 12 for generating a steering assist torque to a steering mechanism and a motor control part 24 for controlling the electric motor 12 by a pulse-width modulating signal in accordance with a current command value corresponding to a steering torque. The motor control part 24 has a motor torque detection part 67 detecting a motor torque, a motor torque change rate detection part 68 calculating a motor torque change rate, and a duty ratio limiting part 64 fixing a duty ratio of the pulse-width modulating signal to a predetermined value for limiting a torque transmitted to a torque transmitting member disposed between a steering shaft of a steering mechanism and a steering road wheel when a calculated torque change rate is not less than a threshold value for judging a steering limit position.