Honeycomb, as one kind of cellular structure, is widely used in buffer for its structural and functional properties. To provide basis for metal honeycombs used as buffering and crashworthy structures, this paper investigates out-of-plane compressive and energy-absorption properties of different topological metal honeycombs. Numerical simulations of compression to five metal honeycombs with different topological structures are made using Patran/DYNA. The numerical models used here with various length and foil thickness of honeycomb cell, Patran parameters design language (PCL) provides convenience to automatically accommodate the parametrized FE model to different designs. Full factoral design is employed to get simulation points, surrogate models are obtained from simulation results based on response surface method and accuracy of models is checked. By referring to a classic lunar lander, the specific energy absorption is set as the design objective for obtaining the optimal topological metal honeycomb structures used as energy absorber structure. The optimization results show that hexagonal metal honeycomb features the best specific energy absorption from the five different topological metal honeycombs.