Disclosed is a multi-component hair dye composition excellent in bleaching property and dyeing property.A multi-component hair dye composition including components (a), (b) and (c), wherein the components are mixed upon use:(a) one or more kinds of glycylglycine derivative represented by general formula (1) and having two or three amino acid residues, or salts thereof[wherein X represents a bivalent hydrocarbon group having 1 to 4 carbon atoms which may be substituted with a hydroxyl group, or an amino acid residueY represents an amino acid residue, or a bivalent group represented by general formula (2):(wherein symbol -* represents a bond that binds to an adjacent carbonyl group or oxygen atom)R represents a hydrogen atom, or a monovalent hydrocarbon group having 1 to 4 carbon atoms in which the hydroxy group may be substituted andm and n each represent 0 or 1, provided that when both m and n represent 1, X is not an amino acid residue](b) an alkali agent and(c) an oxidizing agent.