An electric power steering apparatus includes a motor control unit for controlling an electric motor operatively connected to a steering shaft. The motor control unit includes a first control unit for controlling a steering torque detected by a torque detecting unit so as to bring the steering torque to zero or to a first predetermined value, and a second control unit for controlling the steering torque detected by the torque detecting unit so as to bring the steering torque to a second predetermined value which is greater than zero or than the first predetermined value, based on an operational quantity detected by an operational-quantity detecting unit or a quantity representative of a vehicle behavior detected by a vehicle-behavior detecting unit. The motor control unit controls the electric motor based on an output signal from the first control unit and an output signal from the second control unit.