An electric power steering system of a vehicle has a plurality of Hall ICs for sensing torque applied to a steering wheel, and an electric motor for power-assisting the steering wheel. A supply voltage for the Hall ICs is varied temporarily to check the electric output signals of the Hall ICs. A non-failing device of the plurality of Hall ICs, which generates the electric output signal varying in response to the variation of the supply voltage, is selected. The electric motor is controlled based on only the electric output signal of the non-failing device.