The present invention relates to the cosmetic use of a flocculant polymer chosen from: (i) flocculant polymers comprising as side chain non quaternized pyridine groups directly or indirectly linked to the main chain (ii) flocculant polymers comprising as side chain non quaternary amine groups borne by a side substituent directly linked to the main chain the said polymer comprising at least one non quaternary cationic monomer and at least one hydrophobic nonionic monomer (iii) cationic polyurethane flocculant polymers as antiperspirant active agent especially in a composition comprising a cosmetically acceptable medium and more particularly not containing any antiperspirant aluminium and/or zirconium salts. A subject of the present invention is also a cosmetic process for treating perspiration which consists in applying to the surface of the skin a composition comprising in a cosmetically acceptable medium at least one flocculant polymer as defined previously not containing any antiperspirant aluminium and/or zirconium salts.
