In this paper, a new type of negative Poisson's ratio lattice material is constructed. By using the theoretical method, the relative density and effective elastic modulus and Poisson's ratio of the material are firstly analyzed. Then, the compression mechanical properties of the negative Poisson's ratio lattice materials are studied by using the finite element software LS-Dyna, which include the quasi-static compression property and the dynamic impact characteristics. For the quasi-static compression analysis, the results show that the material had a wide range of stress plateau area, the lower first peak stress, a enhanced plateau stress and a wide range of the high ideal energy absorption efficiency. Therefore, the material has the excellent impact energy absorption properties. For the dynamic impact characteristics analysis, the material shows insensitivity to impact velocity and the stable property under different impact energy levels. This new type of material can be used as lightweight material for energy absorption.