FIELD: cosmetology. SUBSTANCE: invention deals with cosmetic compositions containing in cosmetically acceptable aqueous medium: one anion polymer and a triple acryl copolymer, and the method for applying these compositions to treat keratin materials. Triple acryl copolymer contains: (a) about 20-70 wt. % carboxylic acid with α,β-monoethylene nonsaturation; (b) about 20-80 wt.% monomer with monoethylene nonsaturation with no surface-active properties being distinct against said (a) component and (c) about 0.5- 60% nonionic urethan monomer being the product of reaction of nonionic monatomic SAS with monoisocyanate with monoethylene nonsaturation. The invention, in particular, deals with permanent hair preparations such as gels, foams, lacquers and, also, sun-protective compositions. It enables to obtain fat-free compositions which demonstrate good distribution along skin and hair by providing them softness and capacity to be well combed along with high fixing properties. EFFECT: higher efficiency. 26 cl, 2 ex
