A cosmetic product for hair dyeing or hair bleaching comprising a first agent containing an alkali agent and a second agent containing hydrogen peroxide, wherein viscosity of any one of the first agent and the second agent is 100 mPa·s or less, and viscosity of the other agent is 1000 mPa·s or more, the cosmetic product comprising components (A) to (D) in a mixture of the first agent and the second agent, wherein the mass ratio of [(B)+(C)]/(A) in the mixture is 2 or more and 11 or less: (A) a polymer containing a diallyl quaternary ammonium salt as a constitutional unit and having a charge density of 2.5 meq/g or more and 9 meq/g or less, (B) a compound represented by formula (3): R5—O—(CH2CH2O)n—[CH2CH(CH3)O]m—SO3M1  (3) wherein R5 represents a C8-25 hydrocarbon group, n represents an average addition molar number of 0 to 50, m represents an average addition molar number of 0 to 50, and M1 represents an alkali metal or NH4, (C) an anionic surfactant having carboxy group(s), and (D) a polyoxyethylene-based nonionic surfactant wherein the average addition molar number of the oxyethylene group is 90 or more and 250 or less.