In a vehicle steering system, in particular a steer-by-wire system, using a feedback control including an integral control unit in the feedback path, the integral factor of the integral control unit is made variable depending on the condition of the vehicle, road condition and preference of the vehicle operator so that the intensity of the steering reaction from the tires that is applied to the vehicle operator can be optimally adjusted. Thereby, the steering system can reduce the stead-state deviation and improve the stability in holding a steering angle both without any substantial compromise.