Multiplex dependence of the magnetic susceptibility of iron and titanium-oxygen two-dimensional nanostructures on the amount of metal-oxygen groups deposited on a silica surface was found. The effect of two-dimensional ferrimagnetism was observed. Its appearance is explained by the existence of magnetization areas arising only for certain amounts of Fe-O groups in the surface layer of silica. In the case of samples containing surface Ti-O groups, the structure-induced magnetic effect was observed. Such an effect is caused by an increase of the diamagnetism polarizing component and by the ordering action of silica support on Ti-O bonds.