Hyperelastic models are essential for precisely catching the nonlinear and incompressible performance of elastomeric materials in finite element analysis. The present investigation aims at examining the accuracy of multiple hyperelastic models, including Yeoh, Mooney-Rivlin, Neo-Hookean, Polynomial (N = 2), Arruda-Boyce, Van der Waals, and Ogden, by applying experimental data from uniaxial tension, biaxial tension, and planar tension tests sourced from existing literature. The models use curve-fitting functions to determine parameters, addressing the difficulty of finite element models of elastomers, which have highly nonlinear stress–strain behavior and near-incompressibility. Additionally, the precision of the simulations depends significantly on the selection of appropriate element types and formulations. By comparing the performance of these hyperelastic models against experimental data, this study provides insights into their effectiveness and aids in selecting suitable models for accurate finite element (FE) analysis of elastomeric materials. The aims of present analysis are to identify an appropriate constitutive model based on strain energy density function (SEDF) to accurately describe hyperelastic material response. Using built-in constitutive hyperelastic models in Abaqus, the study fits experimental results, assesses model stability, and derives necessary material coefficients, with the software optimizing the fit between test data and theoretical models. These efforts are aimed at enhancing the understanding and simulation precision of hyperelastic materials in various engineering applications. The study observed that the Ogden, Mooney-Rivlin, and Van der Waals models are showing good agreement with Abaqus for experimental tension test results.