Lattice structures are a type of cellular materials, often with truss-like frameworks. These structures have been considered by the researchers due to their high strength to weight ratio and the capability of controlling their mechanical properties. Given that the geometric shape of these structures is often complex, manufacturing them by traditional production methods is limited. Additive manufacturing (3D printing) includes the process of making a piece in a layered form. This technology has created a revolution in the production. Since in the methods of additive manufacturing, by gradually adding the material wherever it is needed, making it possible to manufacture very complex pieces, which cannot usually be made using conventional production methods. Today, with the advancement and development of additive manufacturing technology, many studies have been carried out on the evaluation of the behavior and mechanical properties of lattice structures. In this research, three lattice structures of kelvin, rhombic dodecahedron, and truncated cuboctahedron with identical geometric dimensions were investigated in quasi-static and dynamic loadings. This research work consists of two experimental and numerical sections. In the experimental section, lattice structures were fabricated by selective laser melting method. Thereafter, the manufacturing accuracy and quality including porosity percentage and relative density were investigated. To perform quasi-static tests, uniaxial compressive test was used and the dynamic tests of lattice structures were performed by the Split Hopkinson Pressure Bar with a mean strain rate of 765 . In the numerical section, the modeling was performed using finite element method with the aim of predicting the behavior and mechanical properties of lattice structures using the ABAQUS software. The performed modeling involves unit cell method, as well as modeling the entire lattice structures, which are performed using 3D continuum and beam elements, respectively. The manufactured lattice structures were of relative densities of over 99%, indicating the excellent manufacturing quality. The results of the experimental tests showed that the selected lattice structures are of a high strength to weight ratio and impact resistance which are appropriate choices for being used in lightweight and impact resistant structures. Moreover, the performed modeling has good agreement with the experimental tests and are suitable for predicting the behavior and mechanical properties of lattice structures. Finally, after analyzing the results, it was determined that the rhombic dodecahedron lattice structure has a special mechanical properties and higher impact resistance than other lattice structures, so that the energy absorbed by this structure in the quasi-static compressive test and in the 50% strain, is 5.5% and 13.8% greater than kelvin and truncated cuboctahedron lattice structures, respectively. Keywords: Lattice structure, Additive manufacturing, Selective laser melting, Split Hopkinson pressure bar, Finite element