As a new gear pair with variable transmission ratio, curve-face gear can be applied to percussion drill to simplify the structure. For the application of curve-face gear pair, the loaded tooth contact analysis of curve-face gear pair should be taken into consideration. According to the gear meshing theory, the mathematical equations for the tooth surface of non-circular gear and curve-face gear were derived, and the meshing equations of this gear pair were also derived. Based on the method of the principal curvatures of space curve face, the variations in principal curvatures of non-circular gear and curve-face gear were proposed separately. With the mathematical method of Boussinesq problems, the loaded tooth contact analysis of curve-face gear pair was presented. The semi-major axis and semi-minor axis of contact ellipse on the surface of curve-face gear were proposed and simulated, and the maximum contact stress on contact area and its trend with the change in meshing situation were investigated, and the principles in the half cycle were also investigated. The tooth contact paths and the calculation method for the loaded tooth contact analysis of curve-face gear pair were verified by the rolling experiment.