In this paper, the damping force of MRF(Magneto-Rheological Fluid) damper using Bingham-plastic model is studied and the performance of quarter car model using this damper is numerically analyzed. As a control algorithm, the sky-hook control is used for its convenience and effectiveness. The transmissibility of sprung mass and unspung mass is compared to that with the conventional passive damper and the feasibility of MRF damper is evaluated. And the design concept of fail-safe MRF damper is suggested to provide the damping force of conventional passive damper level in the case of controller malfunction. The control current and damping force is analyzed passing over the harmonic bumper.