The present invention relates to a novel cosmetic or dermatological composition for topical or oral use, comprising at least one passionflower extract, at least edelweiss callus cells, and at least one physiologically acceptable support, to a non-therapeutic cosmetic skin treatment process using such a cosmetic composition, and also to the non-therapeutic use of such a cosmetic composition for protecting the skin against environmental attack, preventing, retarding and/or combating the signs of ageing of the skin.