With the increasing demand of the drive safety and ride comfort of vehicles, various new technologies are being applied in vehicle suspension system. In this case, the magnetorheological damper can adjust the damping dynamically, and fuzzy logic controller development to track the desired damping force is possible. The combination of two will effectively improve the suspension performance. Thereafter, a model built in Simulink is composed by road model, quarter vehicle model, Magneto Rheological damper model based on Bouc Wen model, damper coil current controller model and Fuzzy logical controller to track the desired damping force. The results obtained from road models have been used in combined simulation model. Finally, the comparative simulation experiments of passive suspension and semi-active suspension with magneto rheological damper was performed. The results show that, the ride comfort of quarter car model has been improved 10% compared to passive suspension; and vehicle stability 30% respectively.