A steering system for a vehicle, includes a control operated by a driver of the vehicle; a measuring device for measuring a quantity of operation of the control by the driver; a steering section including a steering actuator for steering wheels which are mechanically independent of the control; a section for setting a target steering angle in accordance with the quantity of operation measured by the measuring device; a reaction actuator for applying a steering reactive force to the control; a section for setting a virtual steering angle based on a virtual model which represents predetermined dynamic characteristics of the steering section; and a reaction control section for setting a target reactive force in accordance with a difference between the target steering angle and the virtual steering angle, and controlling the reaction actuator based on the target reactive force.