An oxygen absorption resin composition is provided that comprises a thermoplastic resin (A) having carbon-carbon double bonds substantially in its main chain and a transition metal salt (B). If necessary, the composition further comprises a gas barrier resin (C), a compatibilizer (D) and the like. The composition has excellent oxygen absorption properties, and when the composition is employed, generation of odorous substances derived from the decomposition of resins as a result of oxygen absorption can be suppressed.