A porous material –Bi-directional Trapezoid Honeycomb (BDTH) which is different from the traditional honeycomb structure, has same energy absorption properties in the Y and Z directions was studied. The structural parameters (cell size, cell thickness) have a great influence on the compression performance. 3 kinds of cell size ( a) and 4 kinds of cell thickness ( t0) totally 7 kinds of BDTH were manufactured. The quasi-static compression test was carried out with experiment and numerical simulation, and the results were obtained. The effects of material deformation modes and energy absorption are analyzed. Next, based on Gibson-Ashby theory, the relationship between density, initial peak stress, plateau stress, densification strain and the ratio of t0/a were deduced.