Rubbers, various polymers and composites exhibit nonlinear-elastic (hyperelastic) properties. The determination of their material properties for the purpose of computational treatment of a substance is usually derived from uniaxial tests that provide a uniaxial response of a material in tension. An important role in the distribution of the general stress state is also played by the material response in compression, which is usually not measured due to complexity of compression tests. In the course of the master's thesis, an alternative method of determining the elasticity of material in compression based on bending tests is proposed. The proposed process is presented conceptually and computationally. An experimental setup for a bending test has been designed. With the developed program, the properties of different hyperelastic constitutive models, both in tension and compression, were determined with inverse identification on the basis of the measurements performed.