The results of magneto-optical and magnetometric measurements carried out on two-layer film structures of ZHIG/FeNi are presented. ZHIG films were grown by liquid-phase epitaxy, and FeNi films were deposited by magnetron sputtering. It has been established that an interlayer magnetic coupling takes place in the GIG/Fe Ni system, which is mainly due to magnetostatic interaction. Keywords: iron yttrium garnet, permalloy, interlayer bond, magnetostatic and exchange interaction, magnetic domain structure.