Auxetic metamaterial, owing to its unnatural properties such as negative Poisson’s ratio, garnered the researcher’s attention. It finds its application in various fields like protective gear, impact absorption, flexible electronics, smart fabrics, acoustic and vibration damping, biomedical implants, and lightweight structural materials. The current study conducts a comprehensive investigation of re-entrant honeycomb auxetic structures, because of the complex geometry of auxetic metamaterial, the inherent property of the material is not sufficient enough to predict the response. Effective in-plane properties, i.e. ( \(E_{1} ,E_{2} ,G_{12} ,\vartheta_{12} ,\vartheta_{21} )\) are required to be evaluated based on the orientation of geometry. In this research paper, the finite element method has been used to predict the effective properties of auxetic metamaterial. The unit cell is considered, and it has been modeled using a beam element. Periodic boundary conditions have been considered to predict the effective properties. Further, the finite element method is used to predict the structure’s response under a given boundary condition. Numerical results have been validated with existing literature.