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This paper realizes the simulation system which simulates process that CNC machine manufactures special shape screw pole by use of triangle model. By defining a height buffer area, a new method of expressing special shape screw pole in PC and a simplified model are proposed, based on which a new algorithm of calculating the intersection between workpiece and milling cutter is argued. The paper also describes an algorithm of judging interference in the process of simulating according to minimal orientation-distance principle. The algorithms above prove to be superior in time complexity and space complexity through analysis and experiment. Eventually by use of C++ and OpenGL, a three-dimension simulation system capable of judging interference is developed, which is unprecedented in simulating speed and outstanding in graphics reality sense. It makes control manufacture combines with the whole complex screw pole manufacture process such as parameters input, selection of milling cutter, interference judgement, interpolation computing, three-dimension simulation and numeral code.