A vehicle steering apparatus is comprised of an assist motor, a steering torque sensor, a steering angle sensor, and a controller. The controller has a torque producing section for estimating a virtual steering model input torque from a torque sensor detection value and a steering angle detection value, a virtual steering model of representing a desired steering characteristic which receives the virtual steering model input torque and outputs a target steering angle of a steering column shaft, and a steering angle servo for controlling an output of the assist motor so that the steering angle detection angle follows the target steering angle.