<p>Face gear transmission has the advantages of a compact structure, smooth transmission, and insensitivity to installation errors. The method of machining face gears by power skiving is a recent innovation that has been introduced in recent years. To solve the interference problem in the machining of face gear surfaces, This paper presents a cutting angle control approach to predict cutting interference conditions. Initially, the principle of power skiving is studied, and both a precise mathematical model of the power skiving cutter and a kinematics model of gear machining are established. Subsequently, the formation of the rake angle and the clearance angle is analyzed. The changing trend of the cutting angle is investigated. The problem of a negative clearance angle has been identified as prone to occurring during the machining of face gears by power skiving, potentially causing interference with the tooth surface. By improving the geometric structure of the power skiving cutter, the problem of side interference during gear machining is avoided. Ultimately, the accuracy of the proposed method is validated through the application of simulation machining technology. This research results can provide a tool design reference for processing face gears by power skiving technology.</p>