The invention provides a slice and supporting point acquisition method of a complex anisotropic body parameterized model. An algorithm for solving slices and supporting points is provided aiming at athree-dimensional printing technology of the complex anisotropic NURBS body parameterized model. The slice and supporting point acquisition method comprises the steps that firstly, a complex NURBS body parameterized model is constructed, two-component material information is added to control points to construct an HNURBS body parameterized model, and continuous visual expression of model materialinformation is realized; after isoparametric unit grid sampling is carried out on the HNURBS body parameterized model, intersection operation is carried out with a series of planes, and topological information reconstruction is carried out on an intersection result to obtain section information of the slices; and Boolean operation is carried out on two adjacent cross-sectional data to obtain the supporting point addition position of a three-dimensional printing model. The slice and supporting point acquisition method solves the problem of slicing and supporting solution of the complex HNURBS body parameterized model for three-dimensional printing.