Abstract: A kind of cutter-drawing machinery of drum cutting used in CNC gear shaper is proposed, the cutter trajectory is realized by the double conjugate cams mechanism, so it can overcome the impact vibration, poor stability and low precision in the process of drum cutting.The contour curve design of the double conjugate cams is of most important for the cutter-drawing machinery. Under the conditions of given the basic parameters for the double conjugate cams, the goal is to realize the gear shaping and make the tool track without soft impact, the cam angle distribution is carried out, and the curve of quintic polynomial is chosen as cam contour curve, the Wolfram Mathematical model of the each contour curve is deduced as well. The theoretical and actual contour of the conjugate double cams is obtained by using the Wolfram Mathematica The conjugate double cams are installed and running well, which verifies the correctness of the Wolfram Mathematical model and the rationality of the cam design process.