Liquid printing inks for flexographic and/or gravure printing comprise solvents, colorants, if required additives, and, as a binder, at least one hyperbranched polymer having functional groups. Printing lacquers for priming unprinted print media or overcoating printed print media comprise solvents, if required additives, and, as a binder, at least one hyperbranched polymer having functional groups. Such hyperbranched polymers are used for the preparation of printing inks and of printing lacquers.