Abstract In this article, we take the 1/4 vehicle model as an example, according to the requirements of the driving performance of vehicles. We establishes the dynamic model of the vehicle, and use the linear quadratic optimal control theory to design the LQG controller of the active suspension, and use MATLAB/simulink to simulate the vehicle dynamic model. The results show that the active suspension with LQG controller has a good effect on the improvement of vehicle running stability and riding comfort.