A coupled electromechanical dynamic model based on the integrated powertrain system of electric vehicle is developed in this study with the time-varying meshing stiffness，meshing error，meshing damping and tooth-side clearance. The differential equations are solved by the algorithm of variable step size Runge-Kutta and the dynamic load of bearings is calculated. The vibration and noise are analyzed by FEM/BEM with the boundary condition of dynamic load of bearings，which are compared with the test. The results indicate that the vibration acceleration and radiant sound pressure of the gearbox peak at the meshing frequency with its multiplication，and the simulation results are in good agreement with the test results. A current compensation active control method based on active disturbance rejection control（ADRC）is proposed to suppress the torsional vibration that is caused by the direct coupling between the motor and gearbox of integrated powertrain. Furthermore，the effectivity of the method is verified through simulation