The properties of epitaxial magnetic (LuBi) 3 (FeGa) 5 O 12 iron garnet films grown on (210) sub strates, which exhibit the magnetoelectric effect, are experimentally studied. The induced anisotropy and the behavior of the domain structure in the films are investigated in uniform and nonuniform external fields. The existing hypotheses about the nature of the magnetoelectric coupling in such films are critically analyzed.