A biaxially stretched film of an ethylene copolymer, preferably a mixture of (A) 90 to 50 % by weight of a linear ethylene- alpha -olefin copolymer having a density of 0.90 to 0.93 g/cm<3> at 25 DEG C and a melt index of 0.2 to 3.0 g/l0 min. and (B) l0 to 50 % by weight of an ethylene polymer having a density of 0.87 to 0.9l g/cm<3> at 25 DEG C and less than the density of the copolymer (A) by at least 0.0l4 g/cm<3> and a melt index of 0.2 to 5.0 g/l0 min., said copolymer or copolymer mixture giving a DSC curve with an endothermic area under the temperature lower than its melting temperature (main endothermic peak temperature) by l0 DEG C accounting for at least 55 % of the total endothermic area. The stretched film is little varying in thickness and is excellent in heat shrinkability at low temperature.
