The study of multilayer heterostructures is of great interest for the development of materials with new properties. This objective can be achieved by means of crystal combination, which have necessary characteristics. When the length of electromagnetic waves is over the superlattice period, dispersion of vibrations propagating in the heterostructures is insensitive to the phenomenon at the layer boundary and, therefore, superlattice may be considered as homogeneous crystalline medium which characterizes by the set of effective parameters. The expression, which helps to define the effective tensor of dielectric permeability of the multilayer medium disturbed by the electric field of low frequency, has been found. By this, we considered the superlattice formed by crystalline layers of arbitrary symmetry. The properties of multilayer heterostructure have been analyzed at different configurations of electrooptical interaction. The possibility of creating of heterostructures with higher electrooptical efficiency as compared with its forming crystal components has been theoretically approved. The conditions of realization of superlattices, which are insensitive to the value ofexternal electric field, on the basis ofelectrooptical crystals, have been found.