An injection-molded body comprising a layer of an olefin/vinyl alcohol copolymer having a very high molecular weight is obtained by melt-kneading a composition comprising (i) a high-molecular-weight olefin/vinyl alcohol copolymer having a melt flow rate of 0.4 to 6.0 g/10 min as determined at 190.degree. C. and a vinyl alcohol content of 40 to 80 mole % and (ii) a low-molecular-weight olefin/vinyl alcohol copolymer having a melt flow rate of 3.0 to 60 g/10 min as determined at 190.degree. C., which is higher by at least 0.5 g/10 min than that of the high-molecular-weight ethylene/vinyl alcohol copolymer (i), and a vinyl alcohol content of 45 to 85 mole % at a weight ratio of from 98/2 to 40/60, and injecting the melt-kneaded composition into a mold through an orifice.