A vehicle steering system having a steering handle for steering at least one wheel is provided, and includes an arrangement for applying torque to the steering handle and a sensor for detecting applied steering torque. The arrangement generates a return torque, as a function of the steering angle, for driving the steering handle into a central position. During a first driving state in which applied steering torque is above a threshold value, the function curve of the return torque increases monotonically and no return torque is generated at a steering angle of zero. During a second driving state in which applied steering torque is below the threshold value, the arrangement generates a return torque that is greater than that given by the function curve in the first driving state, at least at small steering angles.