The present invention relates to a composition containing in an aqueous medium, at least: 1) an internal olefin sulfonate composition comprising: (A) an internal olefin sulfonate having 16 carbon atoms and (B) an internal olefin sulfonate having 18 carbon atoms, wherein a mass content ratio (A/B) of the component (A) to the component (B) contained in the sulfonate composition is from 75/25 to 90/10, and wherein a mass ratio (hydroxy form/olefin form) of a content of a hydroxy form in the internal olefin sulfonate of the component (A) and the component (B) to a content of an olefin form in the internal olefin sulfonate of the component (A) and the component (B) is from 75/25 to 100/0 and 2) at least one polymeric suspension agent. The present invention relates also to a process for cleansing keratin materials, which consists of applying to the said keratin materials a composition according to the invention, in working the said composition into a foam and then rinsing off the said composition, especially with water. The present invention relates also to the cosmetic use of the composition as defined above, for removing makeup and/or cleansing the skin, the hair and/or mucous membranes, or for skincare.La présente invention concerne une composition contenant, dans un milieu aqueux, au moins : 1) une composition de sulfonates doléfine interne comprenant : (A) un sulfonate doléfine interne ayant 16 atomes de carbone et (B) un sulfonate doléfine interne ayant 18 atomes de carbone, le rapport de teneurs en masse (A/B) du constituant (A) relativement au constituant (B) contenus dans la composition de sulfonstes étant compris entre 75/25 et 90/10, et le rapport de teneurs en masse (forme hydroxy/forme oléfine) dune teneur en forme hydroxy contenue dans le sulfonate doléfine interne du constituant (A) et du constituant (B) par rapport à la teneur en forme oléfine contenue dans le sulfonate doléfine interne du constituant (A) et du constituant (B) étant compris entre 75/25 et
