The peculiarities of propagation of space-limited light beams in a periodic structure formed by crystalline layers of an arbitrary symmetry have been considered. It has been shown, that phenomenon of non-lens focusing may exist even in superlattices made from layers with a high symmetry. The character of changes of the light beams diffraction by decreasing the crystalline layers symmetry until orthorombical one has been analyzed. The influence of mutual orientation of crystallographic axes of layers on the light radiation focusing has been established. The region of X3 axes disorientation for components formed superlattice, for which focusing properties of layered periodic crystalline structures are constant, has been obtained. The optimal characteristics of focusing systems on the base of layered periodic crystalline structures have been found.