An ethylene-vinyl alcohol copolymer composition can be formed into a product having very few minute fisheyes. The ethylene-vinyl alcohol copolymer composition comprises: an ethylene-vinyl alcohol copolymer; and an iron compound; wherein the ethylene-vinyl alcohol copolymer is a saponification product of an ethylene-vinyl ester copolymer prepared by using an organic compound having a half-life of 10 to 300 minutes at 60° C. as a polymerization initiator; wherein an amount of the iron compound is 0.001 to 2 ppm in terms of a metal by weight of the ethylene-vinyl alcohol copolymer composition.