A hair care composition is disclosed comprising a copolymer, an ethoxylated alkyl sulfate anionic surfactant having a formula RO(CH2CH2O)nSO3M, wherein R is an alkyl or alkenyl having from 8 to 18 carbon atoms; M is a solubilising cation comprising sodium, potassium, ammonium or mixtures thereof; the degree of ethoxylation n is 2, and from 0.01 to 5% by weight of a zinc-based anti-dandruff agent; wherein the copolymer comprises: a cationic vinyl monomer A represented by the formula: CH2═C(R1)—CO—NH—(CH2)dN+R2R3R4X−, wherein R1 is a hydrogen atom or a methyl group, each of R2 to R4 is independently a C1-24 alkyl group, preferably a C1-3 alkyl group, X− is independently fluoride, chloride, bromide or iodide anion, preferably chloride, and d is an integer of from 1 to 10; a cationic vinyl monomer B represented by the formula: CH2═C(R5)—CO(O)—(CH2)cN+R6R7R8Y−, wherein R5 is a hydrogen atom or a methyl group, each of R6 to R8 is independently a C1-24 alkyl group, preferably a C1-3 alkyl group, Y− is independently fluoride, chloride, bromide or iodide anion, preferably chloride, and e is an integer of from 1 to 10; a vinyl monomer C represented by the formula: CH2═C(R9)—CO—NR10R11, wherein R9 is a hydrogen atom or methyl group, each of R10 and R11 is independently a hydrogen atom or a C1-4 alkyl group, provided that the sum of carbon numbers of R10 and R11 is from 1 to 4; and wherein the content of monomer A is from 1 to 44 mol % based on the total monomer content of the copolymer, the content of monomer B is from 1 to 44 mol %, and the content of monomer C is from 20 to 75 mol % based on the total monomer content of the copolymer.