Use of a quaternary diammonium polycondensate comprising repeating units (I), as an antiradical agent and antioxidant, is claimed. Use of a quaternary diammonium polycondensate comprising repeating units of formula (-N +>(R 13)(R 14)-A 1-N +>(R 15)(R 16)-B 1-) (2X ->) (I), as an antiradical agent and antioxidant, is claimed. Either R 13-R 161-6C aliphatic, alicyclic or aryl aliphatic radical or lower hydroxyalkylaliphatic radical, preferably 1-6C alkyl substituted by nitrile, ester, acyl, amide, -CO-O-R 17-D 1or -CO-NH-R 17-D 1 or NR 13R 14R 15R 16, NR 13, NR 14, NR 15, NR 16heterocycle comprising optionally a second heteroatom other than N or NA 1R 13R 15piperazine cycle R 17alkylene D 1quaternary ammonium A 1, B 12-6C polymethylene group containing at least one aromatic cycles, O, S, sulfoxide, sulfone, disulfide, amino, alkylamino, OH, quaternary ammonium or ester and X ->anion derived from an inorganic or organic acid, preferably Cl.La présente invention concerne lutilisation dun polycondensat de diammonium quaternaire comprenant des motifs récurrents répondant à la formule (I) suivante en tant quagents anti radicaux libresLinvention permet dobtenir une plus faible dégradation des cheveux lors de lapplication dune composition oxydante.