In order to realize the high precision and high-efficiency machining of face gear,the skiving technology of face gear was studied.The principle of gear skiving was analyzed,the mathematical models of the skiving cutter was established.According to the principle of skiving tooth generation,the tooth surface and root transition surface equations of face gear were derived.Taking the tooth surface of the fully conjugate face gear of the paired involute cylindrical gear as the reference tooth surface,the deviation tooth surface of the skiving tooth surface was constructed.The influence of different tool helix angles,tooth numbers and rake angles on the skiving tooth surface was analyzed.The YK2260MC CNC gear skiving machine was used for gear skiving machining,and the Gleason 650GMS gear detection center was used to detect the tooth surface error.The results show that the maximum error of the left tooth surface and right tooth surface are 14.7 μm and 14.1 μm.The correctness of the proposed gear skiving machining mathematical model is verified,which provides reference for improving the machining accuracy and efficiency of face gears and further improving the gear skiving process.