According to the tooth profile theory of Logix gear, this paper discussed a method of parametric modeling based on UG. By this method, 3D model of Logix gear with different parameters can be easily and quickly built, though tooth profile is complicated. And then, it analyzed the bending stress and contact stress of Logix gear. By comparison with the standard involute gear, it showed that Logix gear has higher bending and contact strength. So it is possible this type of gear can be applied in the case of heavy load. So it provided some practical technical guidance on the research of high strength gear and the application of Logix gear.