The open cell-structured materials are high-lighted as an effective shock-energy absorber for car crashworthiness. Without reliable, optimum cell-structured materials design, they are difficult to use in practice. Dynamic response of open cell-structured materials is investigated to understand the effect of geometric configuration, ductility and cell size on their uniaxial compression behavior. Copper cell-structured materials are employed to describe the effect of topobgical regularity on the static and dynamic deformation behavior. Essential difference is recognized between normally and regularly cell-structured materials on the dynamic/static stress ratio and the strain-rate sensitivity. Topobgical design of cells becomes important for open cell-structured materials.