Abstract: This paper describes research on algorithm for the generation of gouge free tool paths with respect to 5 axis machining of sculptured surfaces and proposes a new approach. The approach includes (a) the tessellation of the parametric surfaces into triangles, (b) intersection between lines distributed uniformly onto a cylindrically shaped cutting tool and some triangle planes used to approximate the surface,and (c) interference detection and tool position correction.The result of calculation shows that the approach is stable, reliable and useful in 5 axis machining of sculptured surfaces.