An electric power steering apparatus has a motor controlled so as to generate steering assist power according to the steering torque required to operate a steering wheel. As a result of correction of the output of the motor in accordance with a value correlating with the rotation angular velocity correspondence value of the steering wheel, in the frequency response characteristic represented by the steering frequency of the steering wheel and the amplitude ratio of the steering torque relative to the steering angle of the steering wheel, the amplitude ratio is set within a setting range, at least within the steering frequency range when a person operates the steering wheel. As a result of correction of the output of the motor in accordance with a value directly correlating with the change velocity correspondence value of the steering torque, in the frequency response characteristic represented by the frequency of the disturbance torque input from the road surface to the steering system via vehicle wheels and the amplitude ratio of the steering torque relative to the disturbance torque, the amplitude ratio becomes smaller at the resonance frequency.