The invention relates to a cosmetic composition comprising, in a cosmetically acceptable medium: (i) one or more cationic polymers, at least one cationic polymer being a dimethyldiallylammonium chloride homopolymer, (ii) two or more than two cationic surfactants, (iii) one or more polysaccharide thickeners, (iv) one or more polyols with a molecular weight of less than 1000.