Laser cutting technology is one of the most advanced cutting technology in the world, adding to the application of layout software, so that the utilization of steel plate has been greatly improved. For filling the lack of sector-annularity parts' research, this paper puts forward the vertexes radial algorithm of sector-annularity parts drawing lessons from the basic principle of the traditional polygonal vertexes radial algorithm, which solves the cutting stock problem of discretional included angle and discretional radius' sector-annularity parts. At the same time, basing on this algorithm, this paper develops a laser cutting layout system using Visual C++6.0, and makes a lot of layout optimal calculations. The experimental results show that this algorithm not only satisfies the technologic requirements of laser cutting technology, but also improves the utilization of silicon steel plate effectively.