The active suspension system on the car is capable of adjusting the hardness automatically, the mechanism  working to meet the tilt chassis and controlling vehicle speed when automobiles are turning on the uneven road, keeping sharp with the brakes. The purpose is to give the car asuspension appropriately and most effectively.The paper presents the application of LQR control algorithm to control the positive suspension with the vertical plane oscillation model for the whole car model. At the end of the paper, the author uses MATLAB-SIMULINK software to simulate and compare the evaluation of the active LQR suspension with passive suspension. Research results show some parameters: fluctuation range; Time of quenching oscillation; The body movement acceleration of the active suspension is better than the passive suspension.