The invention provides an oxidant-containing composition and a using method thereof. The oxidant-containing composition is regarded as a hair dye or a hair depigmenting agent after mixing with a reagent containing an alkaline agent. The composition comprises (A) an oxidant; (B) at least one selected from squalane, an alpha-olefin oligomer and microcrystalline wax; (C) more than two non-ionic surfactants; and (D) at least one selected from (D1) an anionic surfactant and (D2) a cationic surfactant. The content of the component (B) of the oxidant-containing composition is preferably 0.005-5 mass%. When the oxidant-containing composition is applied to the hair dye or the hair depigmenting agent, the hair touch feeling, the preparation stability and the operability can be improved.