The invention provides an electric power steering apparatus which can improve a steering feeling. In the electric power steering apparatus, in the case that once the electric abnormality is generated in the hardware such as the motor, the torque sensor or the like and an output of the assist force by the motor is reduced, however, the electric abnormality is thereafter dissolved due to some kind or another reason, the output of the assist force by the motor is increased immediately to an intermediate target value (within a broken line .alpha.). Accordingly, it is possible to prevent such a steering feeling as the steering wheel becomes suddenly heavy. Further, since the output of the assist force is gradually increased to a reset target value (within a broken line .beta.) after the output of the assist force by the motor is increased to the intermediate target value, it is possible to prevent such a steering feeling as the steering wheel becomes suddenly light on the basis of the thereafter increase of the assist force even if the steering wheel becomes heavy to some extent. Accordingly, it is possible to smoothly change to the assist at a normal time from the assist at an abnormal time while preventing the steering ineffective feeling, and it is possible to improve the steering feeling.