The paper outlines the basic principles of designing the cutting part of gear hobbing cutters and demonstrates the cause of the involute profile error of the cutting edge. Using the surface modeling tools of Dassault Systèmes’ CATIA package, a solution for profile correction embedded in the standard for gear hobbing cutters is visualized. Additionally, a study is conducted, and recommendations are presented for profile correction in cases where non-standard cutters need to be designed. Since designing and manufacturing gear cutting tools involve a significant number of calculations, standard tools dominate this segment of machining, preventing the optimization of the cutting wedge's geometric parameters. The paper shows that the use of surface modeling not only allows for visualizing the cutter tooth as a complex spatial object but also contributes to expanding its technological capabilities. The considered approach to the use of surface modeling is relevant both in education and in engineering design activities, providing substantial support to theoretical courses and practical training.