The present invention relates to a composition in the form of an O/W emulsion, comprising: (a) at least one hydrocarbon-based block copolymer comprising at least one styrene block and at least one block comprising units chosen from butadiene, ethylene, propylene, butylene and isoprene or a mixture thereof, which are optionally hydrogenated; (b) at least one film-forming linear ethylenic polymer devoid of styrene; (c) at least one oil; and (d) water. The composition according to the present invention can maintain the form of an O/W emulsion for a long period of time, and can exhibit good cosmetic properties such as soft feeling to the touch, uniform adhesion to the skin and long lasting cosmetic effects.