Provided is a hair dye comprising 0.1 to 3.0 % by weight of at least one of aqueous acid dyes and a resin comprising a terpolymer constituted from a vinyl cyclic amide represented by following Formula (I), an acrylic acid derivative represented by following Formula (II) and a quaternary derivative of acrylic acid represented by following Formula (III), wherein a content of the resin is 0.1 to 2.5 % by weight in terms of a solid content and the hair dye further comprises 1.0 to 20 % by weight of a hair dyeing auxiliary agent, 20 to 60 % by weight of a lower alcohol and 20 to 60 % by weight of water and has a pH of 2 to 4:wherein, n is an integer of 3 to 6, and R represents a hydrogen atom or an alkyl group having 1 to 5 carbon atoms P is an oxygen atom or NR2 R1, R2, R3 and R4 each are a hydrogen atom or an alkyl group having 1 to 5 carbon atoms R5 represents an alkylalkylene group having 2 to 16 carbon atoms R6 is an alkyl group having 9 to 24 carbon atoms and M represents a halide, tosylate or phosphoric acid anion.
