The invention discloses a parking path planning method and parking motion control method of an auxiliary parking system. A multi-stage smooth parking path which is designed through the parking path planning method based on the B-spline theory meets multiple non-linear constraints such as a vehicle obstacle avoidance constraint, a minimum turning radius constraint and a maximum steering speed constraint; through the path curvature continuity, a pivot steering phenomenon is avoided, and tire wear and steering motor loads are reduced; through the multi-stage smoothness of the path, vehicle tracking is easy to achieve. According to the parking motion control strategy, the requirements of the parking system for the parking speed of a driver are lowered, and the driver only needs to control a vehicle to be driven at low speed. For the phenomenon that in the parking process, the vehicle deviates from the target path and cannot park in the correct position due to the fact that the vehicle speed is too high, a vehicle position posture adjusting strategy based on fixed-point tracking control is presented, and therefore the parking success rate is increased; in addition, fixed-point tracking control is adopted, therefore, the vehicle can be parked to be parallel to a parking space, and vehicle parking standardization is achieved.