Generalized predictive control(GPC) is applied to the control of automobile active suspension to overcome the detrimental effects of time delay of the hydraulic actuators and nonlinearity of the vehicle dynamics, because it can improve transient response and be robust to modeling errors. In this paper, simple decoupled models of roll and pitch motion are developed assuming negligible coupled dynamics, and GPC controllers are designed based on each simplified model. Feasibility and robustness of the controller is demonstrated by the simulation using a coupled 10-dof nonlinear vehicle model. The result of predictive control is compared with that of the conventional feed-forward control.