Abstract <p>Numerical values of elastic constants of hyperelastic models of hyperelastic soft biological tissues of human and animal organs are compared. Hyperelastic material models most often used in scientific literature were considered: Neo-Hookean, Mooney-Rivlin, Ogden, Polynomial, Yeoh, and Veronda—Westmann. A very wide spread of numerical values of elastic constants of the studied organ tissues was found. The Ogden model demonstrated the lowest coefficient of variation <i>CV</i> for the numerical values of the parameters of hyperelastic material models (2.06 for the constant μ and 0.77 for α), while the largest ones were demonstrated by the Yeoh model (15.47 for the constant <i>C</i>₃) and the polynomial model (8.63 for the constant <i>C</i>₀₂ and 7.6 for the constant <i>C</i>₁₁, respectively). Based on the elastic constants of the models and their combinations, the shear moduli of tissues in the undeformed state were calculated.</p>