The present invention relates to a resin composition having an easy-openable property which comprises an ethylene polymer composition (D) comprising 5 to 65 wt % of a propylene polymer (A), 1 to 35 wt % of an ethylene/.alpha.-olefin random copolymer (B) having a density of less than 895 kg/m.sup.3 and 10 to 85 wt % of an ethylene polymer (C) having a density of 895 kg/m.sup.3 and more (in a total amount of 100 wt %), and a film thereof. The resin composition having an easy-openable property is useful as lid materials especially for propylene polymer containers and provides excellent sealability and easy openability and further provides excellent heat resistance and oil resistance.