Abstract: A kind of curved-face gear pair was proposed to transfer rotation and movement of the intersecting axes. According to the theories of gear transmission, the transmission ratio of eccentric curved-face gear pair was designed, and the pitch curve of eccentric curved-face gear pair was deduced. Through the principle of gear engagement, the meshing equation and tooth surface equation were built, and the change law of pressure angle of gear pair was studied, besides, a 3D model of eccentric curved-face gear pair was built with API in SolidWorks. The results validate the correctness of the design method of eccentric curved-face gear pair, and show that it can realize larger transmission ratio and pressure angle, and the gear pair can meet more potential engineering application.