We present a model of the mechanical behavior of rubber. To construct the constitutive equations we use the scheme, whose points are connected by elastic, viscous, plastic and transmission elements. To describe the properties of each of the elements we apply well-known equations of nonlinear elasticity theory, the theory of nonlinear viscous fluids, and the theory of plastic flow of material under finite deformation of the medium. An algorithm, for obtaining the constants of the model, submitted in this paper. Their quest takes place in steps. The constants in the constitutive equations, defined in the previous steps, do not vary in the following. Used in the work experiments (cyclic loading with the relaxation and creep), allow obtaining more information about the viscoelastic properties of rubber.