The present invention relates to a use of a cosmetic composition for removing make-up, in particular waterproof make-up, wherein the cosmetic composition is in the form of a water- in-oil emulsion. The cosmetic composition, which is coated onto or impregnated into an applicator for cosmetic purpose, such as a pad, comprises an oil component having a polarity of at least 20 mN/m, water, and an emulsifier component comprising a lipophilic non- ionic emulsifier. According to another aspect, the invention relates to a method for removing make-up, especially waterproof make-up, comprising applying the above cosmetic composition to the skin. Further, the present invention is concerned with a specific cosmetic composition comprising water, an emulsifier component comprising a lipophilic non- ionic emulsifier, and an oil component which is a mixture of C12-C16 alkane and a cyclic silicone, in particular a cyclopentasiloxane and/or cyclohexasiloxane, and also to an applicator for cosmetic purpose impregnated or coated with such cosmetic composition. The present invention allows a highly efficient removal of waterproof make-up while reducing or avoiding the formation of an oily or greasy film with heavy texture on the skin upon use.La présente invention concerne l'utilisation d'une composition cosmétique de démaquillage, en particulier pour enlever le maquillage étanche à l'eau, la composition cosmétique étant sous la forme d'une émulsion eau dans l'huile. La composition cosmétique, qui est revêtue sur un applicateur à usage cosmétique, tel qu'un tampon, ou imprégnée dans ledit applicateur, comprend un composant huileux ayant une polarité d'au moins 20 mN/m, de l'eau, et un composant émulsionnant comprenant un émulsionnant lipophile non-ionique. Selon un autre aspect, l'invention concerne un procédé de démaquillage, en particulier pour enlever le maquillage étanche à l'eau, comprenant l'application de la composition cosmétique mentionnée ci-dessus sur la peau. En outre, la pr