Abstract: Hybrid slicing method is presented to cope with the needs to handle NURBS surfaces coexisted with point clouds. A set of intersection curves is first obtained by using parallel planes to slice the given surfaces and point clouds with G¹ continuity at their junctions. Surface is constructed over the slicing curves which can meet the demands of continuity with its neighbor surfaces and the precision of approximating the point cloud. As fundamentals of the above algorithm, slicing and intersection processes are discussed in detail. Preferable orientation of the slicing planes is determined according to the geometric properties of the part shape. Application shows that the method is feasible and the result is satisfying.