The power steering system has been adopted in most vehicle system for an easy maneuverability. In this paper, a hydraulic power steering(HPS) model for the computer simulation is developed and used to power steering simulation. The simulation shows that the steering wheel torque with HPS model is less than that without HPS model. In addition, the shimmy vibration at the steering wheel is also simulated and compared to the test data. The lateral displacement of the steering wheel is calculated by imposing the lateral acceleration of the knuckle as a vibration input. The frequency response of the steering wheel is in a good agreement to the test data.