Based on the analysis of meshing equations of bevel gear, uses the strong 3D solid modeling functions of Pro/E software and the top-down modeling method to build 3D solid model of bevel gear. Introduces the solid model in the finite element software Ansys, applies hexahedron element of 20-nodes to the free mesh division, and establishes 3D single tooth finite element model of NC grinding of bevel gear. Lays the foundation for the analysis of thermo-mechanical coupling of NC grinding of bevel gear.