The torque ripple accompanying the starting and stopping the process of the hybrid electric vehicle engine is very easy to induces the torsional vibration of the vehicle powertrains system, resulting in the vehicle power irregularity. To solve the problems, an active control method of torsional vibration based on active control of electromagnetic damping torque of the motor is proposed and verified Aiming at the powertrains system of a planetary hybrid electric vehicle, the dynamic simulation model and engine start-stop control logic under engine start-stop condition is established, in which the dynamic torque fluctuation is considered in the engine model; Based on the four quadrant active controllable characteristics of the motor, the torsional vibration of the powertrains system is actively suppressed by actively controlling the electromagnetic resistance torque of the motor. At the same time, an adaptive fuzzy control strategy for engine start-stop torsional vibration is proposed; Finally, the simulation model is used to simulate the engine starting and stopping conditions under two driving conditions of the vehicle, and the torsional vibration response curves of the driveline under the control method in this paper and without control are compared and analyzed. The results show that the average torsional vibration attenuation rates of the proposed method are 23.75% and 30.1% respectively under the starting-stopping conditions of the stationary stop engine compared with the uncontrolled state; The average attenuation rate of torsional vibration under the starting-stopping conditions during vehicle travel is 12.05% and 23.55% respectively. This method can effectively attenuate the torsional vibration of the driveline under the starting and stopping conditions of the engine, and improve the NVH performance of the hybrid electric vehicle under the starting and stopping conditions of the engine.