A melt-formable ethylene-vinyl alcohol copolymer composition and a multilayer structure are substantially free from heat coloration. The melt-formable ethylene-vinyl alcohol copolymer composition contains: (A) an ethylene-vinyl alcohol copolymer; (B) an alkali earth metal compound; and (C) an iron compound; wherein the iron compound (C) is present in an amount of 0.01 to 20 ppm on a metal basis based on the weight of the ethylene-vinyl alcohol copolymer composition.