FIELD: hair dying composition. SUBSTANCE: composition comprises, in medium adapted for dying, at least one oxidizing dye and at least two quaternary ammonium polymers, one of polymers being cyclohomopolymer of dialkyldiallyl ammonia and other polymer comprising quaternary ammonium repetitive groups. Said polymers are used in amounts of 0.05-5 wt% and 0.05-10 wt%, respectively. Keratin filament dying method and apparatus are cited in Specification. EFFECT: increased efficiency and provision for obtaining intensive color tints with improved color resistance to physicochemical effects. 40 cl, 1 tbl
