A cosmetic composition in the form of a water-in-oil emulsion includes a fatty phase and an aqueous phase, the fatty phase of which includes at least one hydrocarbon oil, at least one first copolymer of ethylene and of propylene and at least one second copolymer of styrene and of at least one olefin other than styrene. A cosmetic method for caring for or making up skin or the lips, and the topical application to the lips of this composition are also disclosed.
