An oxygen-absorbing composition of the present invention contains: a gas barrier resin (A) having an oxygen transmission rate of 500 mL·20 µm/(m 2 ·day·atm) or less as measured at 20°C and 65%RH; a thermoplastic resin (B) including repeating units represented by General Formula (I) below (where X is a methylene group or an oxygen atom, R 1 is an alkenylene group having 3 to 12 carbon atoms, and n is an integer of 5 to 5000); at least one type of metal salt (C) selected from the group consisting of an iron salt, a nickel salt, a copper salt, a manganese salt, and a cobalt salt; and a bifunctional processing stabilizer (D) that is a compound having an acrylate structure and a hindered phenol structure in a same molecule. The oxygen-absorbing resin composition of the present invention performs excellent oxygen-absorbing properties, and enables to reduce generation of an unpleasant odor caused by decomposition of the oxygen-absorbing composition during oxygen absorption.