A description is given of the use of a one-component laminating adhesive for composite film lamination, and also of a method for composite film lamination. The laminating adhesive comprises an aqueous polymer dispersion preparable by radical emulsion polymerization of monomers comprising (a) at least 60 wt %, based on the total amount of monomers, of at least one monomer selected from the group consisting of C1 to C20 alkyl acrylates, C1 to C20 alkyl methacrylates, vinyl esters of carboxylic acids comprising up to 20 carbon atoms, vinylaromatics having up to 20 carbon atoms, vinyl halides, vinyl ethers of alcohols comprising 1 to 10 carbon atoms, aliphatic hydrocarbons having 2 to 8 carbon atoms and one or two double bonds, and mixtures of these monomers, and (b) at least 0.1 wt %, based on the total amount of monomers, of at least one monomer having at least one acid group, and (c) 0.1 to 5 wt %, based on the total amount of monomers, of at least one ethylenically unsaturated compound having at least one functional group selected from keto groups and aldehyde groups; where the aqueous polymer dispersion comprises at least one compound A which has at least two functional groups that are able to enter into a crosslinking reaction with keto groups or with aldehyde groups; where the molar ratio of the groups of the compound A that are reactive with keto groups or with aldehyde groups to the keto and aldehyde groups of the monomer (b) is from 1:10 to 2:1; and where, in the composite film lamination, at least two films are bonded to one another with the laminating adhesive so firmly that the peel strength is 2.5 N/15 mm or more or that the films bonded to one another are partable only with destruction of at least one of the films. The composite films can be used for the packing of foods.