A subject of the present invention is a cosmetic composition of oil-in-water emulsion type comprising: (1) at least one gemini surfactant of formula (I):in which R1 and R3 denote, independently of one another, an alkyl radical having from 1 to 25 carbon atoms R2 denotes a spacing group consisting of a linear or branched alkylene chain having from 1 to 12 carbon atoms X and Y denote, independently of one another, a —(C2H4O)a—(C3H6O)bZ group n ranges from 1 to 10 and -n ranges from 1 to 10 and (2) at least 20% by weight of the total weight of the composition of a fatty phase comprising at least one oil and at least one fatty substance chosen from solid fatty substances and pasty fatty substances the level of fatty substances chosen from solid fatty substances and pasty fatty substances representing between ⅓ and ⅔ by weight of the fatty phase. The composition in accordance with the invention has a very significant consistency, ranging from balm to butter, or even to solid emulsions (sticks), original and pleasant sensory properties, such as a melting away effect, easy application, a non-greasy and non-shiny finish, and also good stability.