This paper presents the modeling and experimental testing of a magnetorheological (MR) fluid damper, The damper consists of a main cylinder and piston rod that pushes MR fluid through a very small clearance between the piston and the sidewalls of the cylinder. Magnetic coils are wrapped outside the cylinder to create the magnetic field. The damper model is developed based on parallel plate analysis by using both Newtonian and Bingham shear flow mechanisms. Empirical data was used to find the required parameter for a Bingham model that is the dynamic yield stress. These empirical data show the shear stress vs. shear strain at different values of magnetic flux density (B). The dynamic yield stress of MR fluid is a function of magnetic field. Finally, the model is validated through experimental testing of the damper.