Poisson’s ratio is important mechanical property of materials and structure. Material and Structure showing negative Poisson’s ratios are called Auxetic. Properties of the Auxetic structures are very important to design the new structure, especially mechanical properties of the Auxetic materials that have structurally and functionally mission. Many researchers made experimental and theoretical works apropos this matter. In this study, the newly designed Auxetic lattice structure Poisson’s ratio was checked over via exploiting finite element analysis. 14 different lattice structures with respect to inner lattice thickness configurations are investigated. All examined structures have a negative Poisson’s ratio. Inner lattice thickness is increased; negative Poisson’s ratio values are decreased (closes to -1.) in these examined lattice structures. 4x2 lattice orientation has lowest Poisson’s ratio than 4x4 Lattice structure Poisson’s ratio, 4x2 is more Auxetic. 4.9 mm inner lattice thickness and 4x2 lattice matrix examined example has lowest Poisson’s ratio that is -0,55. Beneficial to indicate the purview of the structure on the applied force, the stiffness values and the stiffness/mass values were examined. Their energy dissipation capabilities were analyzed.