Artículo de publicación ISIBy means of a generalization of the S-expansion method we construct a procedure to obtain expanded higher-order Lie algebras. It is shown that the direct product between an Abelian semigroup S and a higher-order Lie algebra (G,[, ...,]) is also a higher-order Lie algebra. From this S-expanded Lie algebra are obtained resonant submulti algebras and reduced multialgebras of a resonant submultialgebra