A novel catalyst is provided which enables efficient production of an oxidation product by using an oxygen-induced oxidation reaction of an organic substrate. A novel method of using the catalyst enables efficient manufacturing of the oxidation product by oxidizing the organic substrate using oxygen. A catalyst used in the oxidation reaction of the organic substrate using oxygen contains compound (A), compounds (A) and (B), compounds (A) and (C), compounds (B) and (C), or compounds (A) and (B) and (C). A method for manufacturing the oxidation product using the catalyst involves bringing the organic substrate into contact with oxygen. Compound (A) is an inorganic peroxo acid, a salt of an inorganic peroxo acid, and/or N-halogenated succinimide, compound (B) is a nitroxide and/or a peroxide, and compound (C) is layered silicate.