The face gear drive is a gear meshing drive with cylindrical gear and bevel gear. Because of its small space, high contact ratio, large transmission torque, low vibration and noise, not sensitive to the axial phase error of the worm and so on, face gear transmission is widely applied. In the traditional gear transmission dynamic contact analysis (TCA), first, simulate the meshing equation; second, calculate the contact trajectory that is formed by the adherent point; last, solve each of the instantaneous contact areas and solve tooth contact region in meshing process. But it can’t solve the tail, diamond and other high contact defects. In the real mesh transmission, tooth meshing is very complex, including edges contact, multi-tooth engagement and many other issues. With the progress of the times, using finite element analysis software ANSYS, it will be able to simulate the dynamic contact analysis of the gear. In this paper, the offset face gear as the research object, with MATLAB program, Solidworks and ANSYS software, establish the mathematical model of the orthogonal offset face gear, simulate its geometric model in the three-dimensional software. Finally, implement the simulation of its dynamic contact meshing in the finite element analysis software.