Abstract: The optimal topology model is established based on ICM(independent continuous mapping)method- ology in order to study a topological optimization of continuum structure with displacement constraints under multiple load cases.The optimal refers to the structural mass as objective.And an explicit formulation of dis- placement that is of global with related to topological variables is presented by using of unit virtual load method.In addition,the dual model corresponding to the optimal model of continuum structure is solved by the serial quadratic programming.Consequently,the number of design variables is decreased and the efficien- cy of computation is improved.Furthermore,the present optimal model and its algorithm have been imple- mented by means of the MSC/Patran software platform using PCL(patran command language).Numerical examples about 2D and 3D continuum structures indicate that the method is effective and efficient.