In an electric power steering apparatus, a phase control characteristic for a signal corresponding to detected steering torque is changed according to the judgment whether the steering is in a return steering state or a feed steering state, so that a response of a variation of target output value of a motor for generating steering assist power to a variation of the detected steering torque decreases in the return steering state in comparison with that in the feed steering state. An output control characteristic of the motor is changed according to the judgment synchronously with the change of the phase control characteristic, so that a response of a variation of the output command value to a variation of deviation between the target output value and actual output value decreases in the return steering state in comparison with that in the feed steering state.