The invention relates to a composition which is oxidatively effective on keratin-containing fibers, in particular human hair, and which, besides at least one oxidizing agent, comprises an active ingredient combination of (a) a selected cationic polymer, (b) at least one mono- or di(C.sub.8- to C.sub.30)-alkylammonium salt and (c) at least one quaternary ammonium compound which carries at least one selected group on the quaternized nitrogen atom, and to a method of reshaping keratin-containing fibers, in which this composition is used, and to the use of this composition for fixing in the course of hair reshaping. The reshaping is improved through these compositions and the fiber receives excellent care and structure retention.
