To construct a new model from the existing models is an important modeling method in digital enter- tainment. Boolean operation method for point models based on RBF (Radial Basis Function) is proposed in this paper. Firstly, it divides the input point models by octree. Then it transforms the models to implicit function represented signed distance field. Finally through the implicit surface Boolean operation method to exclude the extra point, a wanted new point model is obtained. The process of RBF implicitization for point model is accelerated by space octree division. A complex model can be constructed form several simple point models with this method.