In this research, we study on improving the ride comfort of vehicle for semi-active suspension model with MR damper including its hysteresis behavior which causes complexity for calculating process. There are two main objectives that are concerned in this research. One is that the controller must be able to have fast response and guarantee robustness. The latter is that the control scheme must be able to reduce the process time while the performance is not greatly dropped. Therefore, the suitable approach for these objectives is L₁ adaptive control with Linear Time Invariant (LTI) Controller which will be applied in the control system. MATLAB is used for simulating the control system, and the performance is compared with the PID control system. The result shows that the L₁ control method meets all this research purposes.