We propose a method to design a deterministic linear optimal preview controller for improving ride comfort and rollover stability with active suspension. Preview control is a good choice in improving the performance of active suspension. While the conventional preview controller is designed to improve the ride comport without considering lateral dynamics, proposed preview controller is designed to improve both ride comfort and rollover stability by considering the roll dynamics. Through the simulation, the newly proposed method is shown to be effective in improving not only ride comfort but also rollover stability.