A steering system for rear wheels of a vehicle without a dead zone in the vicinity of the steering wheel zero. The steering system includes a steering controller and control units that control the rear wheels to be steered in accordance with the steering angle of the steering wheel. The steering system performs a reduction control to provide a smaller steering control amount for the rear wheels in a range where a steering angle becomes smaller than a predetermined value, compared to a steering control amount for the rear wheels in the other ranges of the steering angle. When an angle speed of the steering angle becomes greater than a predetermined value, the steering system performs no reduction control or the reduction control with less reduced steering control amount for the rear wheels even in the range where the steering angle becomes smaller than the predetermined value.
