Hair composition and method for dying hair using a composition comprising a polymer dye, said polymer dye obtainable by polymerizing: (a) a first dye monomer which has a structure according to Formula (I) where Y is selected from -CONH- or -CH2CH(OH)CH2-NH- and R1 is selected from H, alkyl aryl benzyl halogen ester acid amide and, CN, and (b) a second monomer according to a structure according to Formula (II) where X is an organic bridging group covalently connecting the amine to the alkene moiety of the monomer, preferably X is -CO2(CH2)n- where n = 1 to 6 where R5 is selected from: H, alkyl aryl benzyl halogen ester acid amide and, CN, preferably R5 is CH3 or H and where R2, R3, and R4 are independently selected from H or alkyl, preferably at least two of R2, R3, and R4 are alkyl.
