A vehicle steering system includes a steering wheel, a steering angle detector that detects a steering angle of the steering wheel, a steering angular speed calculator that calculates a steering angular speed of the steering wheel, a vehicle speed detector that detects a vehicle speed, a target rudder angle finding device, a modifying device, and an actuator. The target rudder angle finding device finds a target rudder angle based on the steering angle, the steering angular speed and the vehicle speed. The target rudder angle is a sum of a proportional term proportional to the steering angle and a differential term proportional to the steering angular speed. The modifying device modifies the differential term when the steering angular speed is negative to reduce a value of the differential term from that when positive. The actuator turns at least one wheel of the vehicle in accordance with the target rudder angle.