An automatically correction algorithm was promoted to solve the problem that most of the commercial CAD/CAM software can only detect the collision, but can not generate collision-free tool path on cutting path planning. The algorithm uses the configuration space theory to map the boundary into the 2D configuration space, and then the 3D space interference collision problem was transformed into 2D space. Finally, the algorithm was used to generate cutting path of a closed impellers runner. From the result of cutting path planning, the proposed algorithm was able to avoid the interference in the process of tool path planning about closed impeller.