A method, based on using the Hamiltonian of the periodic Andersen model, is proposed for the description of superlattices consisting of layers of magnetic and nonmagnetic d-group transition metals. The theory contains a minimum number of phenomenological parameters, which are determined by the properties of the elements composing the superlattice and can be found from the number of d-electrons and the magnetic moment per atom in an appropriate bulky specimen. The theory developed is used to calculate the magnetic properties of the Fe/Cr and Fe/Cu systems with the (1, 0, 0) orientation of atomic layers. The results are compared with the data of calculations from the first principles.