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At present, the machining technology of face-milling, spiral-bevel and hypoid gears has two major methods. One method is the traditional face-milling method called the ‘five-cut process’ or the ‘fixed setting process’, which is still widely used in developing countries, such as China [1] to [3]. The other method is called the ‘duplex helical method’ or the ‘completing process’, which has many advantages, such as higher machining efficiency, lower production cost, higher tooth strength, and dry cutting. Therefore, the fivecut process is gradually being replaced by the duplex helical method, and the duplex helical method will become an advanced and primary manufacturing method for face-milling, spiral-bevel and hypoid gears in China. However, there are significant differences and correlations between the generalized theories of the two methods. The significant differences between the fivecut process and the duplex helical method are: (1) In the five-cut process, the convex and concave tooth surfaces of a pinion are separately cutting with two different head-cutters; the outside headcutter processes the concave tooth surfaces, and the inside head-cutter cuts the convex tooth surfaces. The duplex helical method can cut both sides of the pinion or gear tooth slots completely, with a spread blade head-cutter, in one operation, from a solid blank. (2) There is a helical motion (does not exist in the five-cut process) in the duplex helical method to control bias on the pinion, which is a relative axial motion between the workpiece and the cutter, along the generating gear axis, during the generating roll. With either method, the cutter represents a tooth of an imaginary gear which rolls with the gear or the pinion being cut. Therefore, its shape and position determine the shape of the tooth surface, and the influences of its parameters on the tooth surface topography play an important role in revealing the generalized theories of the two methods. The generalized theory of spiral bevel and hypoid gears manufactured with the five-cut process have been comprehensively presented by several gear scientists [4] to [6]. Gleason’s most representative gear scientists establish the spatial geometry of Gleason The Influence Rules of Cutter Parameters on the Contact Characteristics of Tooth Surfaces by Five Cut Processes and the Duplex Helical Method Zhang, Y. – Yan, H. – Wang, Z. – Zhao, Q. Yu Zhang1,* – Hongzhi Yan2 – Zhiyong Wang1 – Qing Zhao1 1 Central South University of Forestry and Technology, Institute of Modern Mechanical Transmission Engineering Technology, China 2 Central South University, State Key Laboratory of High-Performance Complex Manufacturing, China