To solve the problem that the virtual 3D cable of CREO can easily cause interference detection difficult because the cable has a flexible optional deformation characteristic, an algorithm that expresses the cable discretely by using dimensional coordinates point is put forward. Firstly, the algorithm expresses the cable entities by using cable centerline discrete spatial coordinates point. Secondly, space position relation of structure is analyzed. Finally, by utilizing the relationship of space position between cables as well as cable and structure, the fast interference detection for 3D cables is realized. The algorithm is validated on the platform Visual Studio 2010 and CREO by using C++ language and TOOLKIT tools. The results show that the algorithm is fast and has better accuracy to meet the actual needs of the project.