The ability of elastomers to withstand very large strains (of beyond 500%) without breakage or permanent deformation make them an ideal material for many applications, including, but not limited to, aerospace, medical, and automobile industries, bridge bearings, seismic isolation, and supplemental dampers. It is essential for design purposes to simulate accurately the response behavior of elastomers under various loading conditions . Given the nonlinear stress-strain relationship in an elastomeric material, a hyperelastic model, instead of Hooke's law, must be employed in stress analysis of the material. The literature includes a variety of constitutive hyperelastic models for elastomeric materials. However, choosing a suitable constitutive model that simulates the elastomer stress-strain behavior under different loading conditions is challenging. This paper examines the effectiveness of various hyperelastic models of which the constant model parameters have been evaluated using the results of a standard uniaxial tensile test conducted at different strain values. The model parameters are evaluated through a curve fitting technique performed by MSC-MARC, a commercial finite element software program. A thorough examination of the efficiency and accuracy of various hyperelastic constitutive models at different strain ranges is shown that the accuracy of Neo-Hooken, Arruda-Boyce, Ogden, and Yeoh models is affected by increasing strain values. Among these four models, Neo-Hooken has the most and the Ogden model possess the least sensitivity to the strain values. The order Ogden and Moony-Rivlin models show approximately the same accuracy up to a 200% strain. However, Ogden model has proper accuracy at all of the strain range