In this research, I will present a high precision grinding technique of cutting edge of punch. This method performs finish grinding process planning method by simultaneous three-axis control of a conical grindstones on a machining center. Cutting edges of punch are tools used to cut out thin-walled shapes, it is necessary to limit the thickness of the tip of the cutting edge to 10 [µm] or less and to suppress a surface roughness of cutting edge, because the thickness and the surface roughness affect the generation of chips and cutting quality at the time of material cutting. I try to apply to an irregularly shaped cutting edge of punch processing condition of a straight blade that the surface roughness of the edge is suppressed by carrying out truing and the surface roughness can be further suppressed by grinding by a path tilted along the edge. As a result, it became possible to generate cutting edges of punch with complicated shapes by processing condition and tool path.