Process for the production of paper, board and cardboard having high dry strength by separate addition of a water-soluble cationic polymer and of an aqueous dispersion of a water-insoluble polymer having a content of acid groups of not more than 10 mol % or of an aqueous dispersion of a nonionic polymer, which dispersion has been made anionic, to a paper stock, draining of the paper stock and drying of the paper products. Preferably, the polymers are added to a paper stock which has a temperature of at least 40° C.