The paper presents a method of evaluating the effective elastic parameters of the hyper elastic potential of polymeric nano- and micro-filled composites taking into account the contact layer is defined by the surface of the filler. This was selected the elastic potential describing the deformation behavior of styrene butadiene rubber. The applied method based on the solution of periodic problem on the cell with the inclusion that was solved in the 3D formulation of the finite element method in block analytical numerical realization. To solve the problem of determining the effective characteristics were used the results of experimental tests of the structure and properties of the filler, matrix and the contact layer received in the IAM of RAS.