The present invention relates to a cosmetic and/or dermatological composition comprising in a physiologically acceptable medium: a)one or more alcohols comprising at least 20 carbon atoms b) one or more fatty acid esters said ester comprising at least 24 carbon atoms and being selected among A) those corresponding to the formula (I) below: R COO R (I) in which: R and R which may be identical or different denote a saturated or unsaturated linear or branched hydrogenated or non hydrogenated hydrocarbon based group comprising from 12 to 30 carbon atoms and preferably from 14 to 24 carbon atoms and B) di or triesters of glycerol and of C C fatty acids and c) at least one or more thickeners which are not xanthan gum. Another subject of the invention is a process for mattifying the skin and/or reducing the shininess thereof. Another subject of the invention is the use of said fatty acid ester as agent for mattifying keratin materials such as the skin.
