Studies the principal curvature and the main direction of point contact face-gear driving, as well as the two main values of induced normal curvature for face-gear driving, discusses the factors affecting the curvature of tooth and tooth surface induced normal curvature, and conducts simulation analysis on the influences which the tooth surface contact stress distribution and the main geometric parameters have on the contact stress. The results show that the geometric features of tooth surface have a major impact on the performance of face-gear driving, and in order to reduce the contact stress of tooth surface, it should use more teeth, larger modulus, larger pressure angle and smaller tooth number difference in the application of face-gear drive.