Suspension system plays an important role in ride comfort and road holding. In this paper, the two degree-of-freedom quarter car model with passive and semi-active suspension system is designed using Matlab/Simulink. The semi-active suspension system is designed with MR damper. The control performance is compared between passive and semi-active suspension system. The results showsthe vehicle response results obtained from step and sine of road input simulations. In conclusion we concluded that semi active system gives 93.9% and 63.7% better result for step and Half sine input respectively.