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.
