A Magneto-rheological(MR) fluid damper based on squeeze model is put forward. The squeeze flow differential equation is obtained. Navier slip condition is considered on two boundary surfaces and compatible condition is established. The radial velocity profile and the radial pressure distributions are derived respectively. The mathematical expression of damping force is devloped. In order to verify rationality of analytical method, MR fluid damper based on squeeze mode is designed and fabricated according to technical requirements of engine vibration isolation system. The experimental damping forces from MTS870 Electro-hydraulic Servo with sine wave excitation show that analytical method proposed in this paper is feasible and has the reference value to design MR fluid damper based on squeeze mode.