Abstract-The low frequency longitudinal vibration is one of the key factors that affect the drivability. Therefore, the analysis and control of the low frequency longitudinal vibration of the vehicle has always been a key issue in the vehicle Vibration and Harshness (NVH). In this paper, a new active control strategy for motor torque compensation is proposed to apply to the driveline's counterforce so as to realize the active suppression of low frequency vehicle longitudinal vibration. In the MPC controller, reasonable parameter selection can improve not only the system's closed-loop performance, but also its stability and robustness. Based on the design of vehicle low frequency longitudinal vibration controller, we choose and design some important control parameters (e.g., prediction time domain, control time domain and weighting factor) to assure the MPC controller achieve the best performance. Besides, we also study the impact of different control parameters by its results, finding out the general impact of the law. The simulation results show that the variable weights MPC controller can achieve better performance by selecting MPC controller parameters reasonably.