Magnetorheological (MR) shock absorbers have received remarkable attention in the last decade due to being a potential technology to conduct semi-active control in structures and mechanical systems in order to effectively suppress vibration. It is therefore vitally important to understand dynamic behavior of such devices whose nonlinear hysteresis is a complicated phenomenon. In the present paper, a MR shock absorbers has been designed, fabricated, tested and a fully-parametric modeling has been done using classical Bouc-Wen hysteretic model. Finally, the model has been verified against experimental data and excellent agreement has been observed between experimental and simulated data