In this study, a general continuum level constitutive model of porous hyperelastic materials containing compressible voids was developed. A specific expression for the strain energy density function was derived using a representative volume element in the form of a hollow sphere, by assuming a specific deformation state. The strain energy density function of porous hyperelastic materials was found to be related to the initial porosity, the properties of the incompressible hyperelastic matrix material, and the final macroscopic deformation state. Based on the strain energy density function, the relationship between stress and strain was also investigated. A representative example of porous hyperelastic materials was calculated using a Neo-Hookean matrix material with compressible voids to predict the stress-strain behavior. The stress-strain behavior for porous hyperelastic materials is proven to be related to the initial porosity and the final macroscopic deformation state. The effect of compressible voids on the stress-strain behavior of the porous hyperelastic matrix materials under the specific stretching was clarified.