Vibrations generated from various natural and man-made sources affect the sustainability of structures. The concept of vibration isolation refers to the process of screening such vibrations. A novel cubical metamaterial composed of negative Poisson's ratio cells has been created in this study to achieve the main objective of effectively isolating vibrations in a certain frequency range. The present investigation involves the construction of a computational model employing the finite element method (FEM) using the ABAQUS software. The design and analysis of a metamaterial including numerous unit cells with varying stiffness has been conducted. The influence of various parameters including thickness, frequency, and aspect ratio has been investigated. The findings indicate that the metamaterial under consideration possesses significant vibration isolation capabilities within the frequency region of 40–80 Hz. The efficiency of the designed model is obtained to be 67%, indicating effective vibration isolation.