In order to guarantee consistency of workpiece manufactured, grinding the transition surface is an important issue for manufacturing indxable insert. In this study, the paper analyzed systematically indexable-insert for cutting tools designation (ISO 1832-2004), and made use of parametric design method to analyze the geometric features of indexable insert. What is more, on the basis of grinding principles and the point-vector method, the mathematic models of typical transition surfaces of inserts-insert with wiper and chamfer, and insert with nose radius were established. The mathematic models derived are most important part in writing the software which is used to generate automatically programs for manufacturing indexable insert .The idea was that using small planes describe the transition surface of insert, and then a general relationship between those planes and workpiece coordinate system could be established based on the point-vector method. Finally, the simulation examples were done by CAD/CAM to check the correctness of the models. The method presented could be extended to study more complicated transition surface of insert.