Abstract: The structural dynamic characteristics analysis of hexagonal chiral structures with negative Poisson's ratio were studied in present research. In order to improve the structural stiffness performance of the hexagonal chiral element structure, an optimization formulation based on natural frequency parameters was established. By defining the weight coefficients corresponding to the natural frequencies of different orders, and the normalized model for the natural frequency parameter was established. Defining the chiral thickness and circular wall thickness of the element structure as design variable, the optimization equation was established. Finally, the structural optimization was carried out by introducing the genetic algorithm (GA). The results show that the natural frequency is obviously improved after optimization, which provides a certain reference value for the design and application of new materials for vibration and noise reduction.