A static and dynamic collaborative optimization method for materials and structure with uniform periodic microstructure is presented.The sensitivity formulae of hierarchical optimization,i.e.,material design,structure design and integrated design for porous metals,are given.On the base of the hierarchical optimization model,numerical experiments of an MBB beam and a cantilever one were carried out.Based on porous metals bearing multi-functionality,the differences and applicability of hierarchical optimization are discussed in the structure loading field.It is concluded that structure design is mainly oriented to structure efficiency,material design is mainly oriented to multi-functionality,and integrated design is oriented to structure efficiency and multi-functionality.This work provides some useful ideas for the selection of porous metals design method. A static and dynamic collaborative optimization method for materials and structure with uniform periodic microstructure is presented. Sensitivity system of hierarchical optimization, ie, material design, structure design and integrated design for porous metals, are given. On the base of the hierarchical optimization model , numerical experiments of an MBB beam and a cantilever one were carried out. Based on porous metals bearing multi-functionality, the differences and applicability of hierarchical optimization are discussed in the structure loading field. It is concluded that structure design is mainly oriented to structure efficiency, material design is mainly oriented to multi-functionality, and integrated design is oriented to structure efficiency and multi-functionality. this work provides some useful ideas for the selection of porous metals design method.