A two-component bonding agent system, comprising (a) a polymer with at least two Michael acceptor groups with an average molecular weight of from 1,000 g/mol to 1,000,000 g/mol, (b) a polymer or oligomer with at least two primary or secondary amino groups or blocked amino groups, and (c) optionally, additive, auxiliary and/or catalyst, is described.The adhesive made from the two-component bonding agent systems is useful for composite films, particularly suited for packaging foodstuffs and luxury foods and medicinal products.