In this paper, a numerical method is proposed for simulating dynamic response of a ferromagnetic structure immersed in a strong magnetic field aiming at applications to the in vessel Tokamak structure of RAFM steel. The magnetic damping coupling effect and the magnetic stiffness coupling effect are considered in the numerical simulation. For simple, the static magnetic field is supposed very strong and the material is considered saturated in this work, i.e., the material is of air permeability but with a strong residual magnetization. To demonstrate the validity of the numerical method, the dynamic response of a ferromagnetic plate immersed in a transient transverse magnetic field with in-plane magnetic field component is simulated with the developed numerical code and compared with the simulated results with ANSYS. The good consistency of numerical results and simulation results demonstrated the validity of the proposed method and the corresponding numerical code.