An oxygen-absorbing medical multilayer container comprising at least three layers comprising: a first resin layer containing a thermoplastic resin; an oxygen-absorbing layer containing an oxygen-absorbing composition; and a second resin layer containing a thermoplastic resin, in this order, wherein the oxygen-absorbing composition comprises at least one compound having a tetralin ring represented by Formula, a transition metal catalyst, and a thermoplastic resin (a): where R 1 to R 12 each independently represent a hydrogen atom or a monovalent substituent, the monovalent substituent being at least one selected from the group consisting of a halogen atom, an alkyl group, an alkenyl group, an alkynyl group, an aryl group, a heterocyclic group, a cyano group, a hydroxy group, a carboxyl group, an ester group, an amide group, a nitro group, an alkoxy group, an aryloxy group, an acyl group, an amino group, a thiol group, an alkylthio group, an arylthio group, a heterocyclic thio group, an imide group, a substituent represented by Formula, and a substituent represented by Formula, which each optionally further have a substituent; two of the substituents represented by R 1 to R 12 are optionally bonded to each other to form a ring; and at least one hydrogen atom is bonded to a benzylic position of the tetralin ring; where R each independently represents a monovalent substituent, the monovalent substituent being at least one selected from the group consisting of a halogen atom, an alkyl group, an alkenyl group, an alkynyl group, an aryl group, a heterocyclic group, a cyano group, a hydroxy group, a carboxyl group, an ester group, an amide group, a nitro group, an alkoxy group, an aryloxy group, an acyl group, an amino group, a thiol group, an alkylthio group, an arylthio group, a heterocyclic thio group, and an imide group, which each optionally further have a substituent; two of the substituents each represented by R are optionally bonded to each other to form a ring; W represents a bond or a bivalent organic group, the bivalent organic group being at least one selected from the group consisting of an aromatic hydrocarbon group, a saturated or unsaturated alicyclic hydrocarbon group, a linear or branched saturated or unsaturated aliphatic hydrocarbon group and a heterocyclic group, -C(=O)-, -OC(=O)-, -N C(=O)-, and an arbitrary combination thereof; m represents an integer of 0 to 4; n represents an integer of 0 to 7; p represents an integer of 0 to 8; and q represents an integer of 0 to 3. a first resin layer containing a thermoplastic resin; an oxygen-absorbing layer containing an oxygen-absorbing composition; and a second resin layer containing a thermoplastic resin, in this order, wherein the oxygen-absorbing composition comprises at least one compound having a tetralin ring represented by Formula, a transition metal catalyst, and a thermoplastic resin (a): where R 1 to R 12 each independently represent a hydrogen atom or a monovalent substituent, the monovalent substituent being at least one selected from the group consisting of a halogen atom, an alkyl group, an alkenyl group, an alkynyl group, an aryl group, a heterocyclic group, a cyano group, a hydroxy group, a carboxyl group, an ester group, an amide group, a nitro group, an alkoxy group, an aryloxy group, an acyl group, an amino group, a thiol group, an alkylthio group, an arylthio group, a heterocyclic thio group, an imide group, a substituent represented by Formula, and a substituent represented by Formula, which each optionally further have a substituent; two of the substituents represented by R 1 to R 12 are optionally bonded to each other to form a ring; and at least one hydrogen atom is bonded to a benzylic position of the tetralin ring; where R each independently represents a monovalent substituent, the monovalent substituent being at least one selected from the group consisting of a halogen atom, an alkyl group, an alkenyl group, an alkynyl group, an aryl group, a heterocyclic group, a cyano group, a hydroxy group, a carboxyl group, an ester group, an amide group, a nitro group, an alkoxy group, an aryloxy group, an acyl group, an amino group, a thiol group, an alkylthio group, an arylthio group, a heterocyclic thio group, and an imide group, which each optionally further have a substituent; two of the substituents each represented by R are optionally bonded to each other to form a ring; W represents a bond or a bivalent organic group, the bivalent organic group being at least one selected from the group consisting of an aromatic hydrocarbon group, a saturated or unsaturated alicyclic hydrocarbon group, a linear or branched saturated or unsaturated aliphatic hydrocarbon group and a heterocyclic group, -C(=O)-, -OC(=O)-, -N C(=O)-, and an arbitrary combination thereof; m represents an integer of 0 to 4; n represents an integer of 0 to 7; p represents an integer of 0 to 8; and q represents an integer of 0 to 3.