An electric power steering apparatus that suppresses occurrence of an abnormal noise at end hitting without providing uncomfortable feeling of steering for a driver, attenuates impact force, and enables suppression of the abnormal noise without making a turning radius worse. The apparatus includes a viscoelastic model following control section that sets a viscoelastic model as a reference model within a predetermined range in front of a rack end, and outputs a control output to correct a current command value; and a rack end approach judging section that performs judgment of being in the predetermined range in front of the rack end based on steering position information; adjusts the control output based on at least the steering position information, a steering velocity and a steering state, and corrects the current command value by the adjusted control output.