The electromagnetism(EM)-fluid and fluid-structure interaction (FSI) modeling and solving method of shock absorber were studied. Adina software was used to establish accurate structure finite element mesh model and the finite element mesh model of EM-flow field based on EM-fluid and FSI method. Post-processing module of adina software was used for solving analysis. The velocity characteristics, indicator diagram, magnetic field distribution characteristics, core area fluid pressure field and velocity field characteristics of shock absorbers were obtained under the state of MR damper non-controlling and energized condition. The results show that under the high-speed impact of the shock absorber MR fluid and the core area fluid pressure field are changed significantly. According to the magnetic field distribution characteristics, self-designed mono tube MR damper structure can enlarge damping force adjustment range. The EM-CFD and FSI model is closed to the physical reality because of the consideration of turbulent flow of MR fluid; so the simulation results are in good agreement with the experimental results.