The Auxetic structures were developed to be used in various applications. Regarding the wide spreading of these structures, different research has been developed to study the different static and dynamic characteristics. This paper presents the numerical investigation results of the dynamic characteristics for a re-entrant honeycomb Auxetic Structure based on its Geometrical parameters. The part of the Auxetic system is chosen to be Aluminium. The study begins by constructing the model of the finite element to simulate the structure in the static, transient and modal analyses. These analyses were performed and determined the impact of geometric parameters change on the negative Poisson’s ratio, Natural frequency, Damping Ratio of the re - entrant structures.