This paper studies the topological optimization of three-dimensional spatial curved shell structures with the radial basis function (RBF) based parameterized level set method.The application of structural optimization method in architectural structure design aims at meeting the requirements of architectural aesthetics and making the building structure safe,economical and reasonable simultaneously.In the middle of the twentieth century,the wide appearances of shell structures promoted the structural design of buildings greatly.The shell structure is also considered as one of the special structural prototypes with high structural performance,which helps engineers cope with more complex spatial forms.