A multiobjective and mixed H2/H controller based on LMI(linear matrix inequality) is developed to balance ride comfort and handling stability performance of vehicle. The multiobjective optimal control law is devised for an active suspension system of seven degreeoffreedom fullcar model. Norm H2 of the transfer function from road profile velocity disturbance to output evaluating signal is selected as the evaluating index of ride comfort performance, and norm H of the transfer function from road profile velocity disturbance to output evaluating signal is selected as the evaluating index of handing stability performance. The results from the simulation demonstrate that the controller obtains a good performance of ride comfort with the less expense of the handling stability.