Abstract: According to the principle of orthogonal arc tooth face-gear meshing, the tooth surface equation of arc tooth surface gear is deduced, and the tooth surface is visualized by Matlab. Under the developed gear coordinate system, the tooth surface contact characteristics during the gear meshing process are studied. In the contact characteristic analysis of the point contact orthogonal face gear transmission without considering the influence of error, a method for solving the meshing point of the tooth surface of the face gear is proposed. The visualization of the meshing track of the gear tooth surface is realized by the equation derivation and the simulation of the contact track of the gear tooth surface, obtained the change rule of the main curvature at the contact point of the cylindrical gear and the orthogonal face gear, and visually simulated the contact spot, deduced the contact characteristic equation on the orthogonal face-gear, obt-ained the change rule of the contact characteristic, and combined with Hertz's theory of elastic contact mechanics theory, the contact area and stress of meshing point of the face gear are analyzed.