Abstract:Accurate modeling of spiral bevel and hypoid gear is the foundation of the tooth contact analysis (TCA) technology and error correction technology of the tooth surface, which is the key technology in digitized manufacturing. This paper summarized the related achievements and divided the methods of modeling spiral bevel and hypoid gear into three categories, including modeling by discrete points on the tooth surface, curve fitting, and simulation machining, and generalized the main steps and the key ideas of each method. At the same time, this paper analyzed the problems and inadequacies existing in the process of model design. Three directions were proposed for modeling of spiral bevel and hypoid gear in the future, that are more accuracy, more efficiency and more flexibility. The paper provides some methods that make the design and machining of spiral bevel and hypoid gear faster and more accurately.