Topically applicable, improvedly photostabilized, photoprotective cosmetic/dermatological compositions contain (i) an effective UV-screening amount of at least one dibenzoylmethane sunscreen and an effective photostabilizing amount of (ii) at least one oil containing at least one amide structural unit and (iii) at least one compound accepting the excited triplet level energy of said at least one dibenzoylmethane sunscreen, formulated into (iv) a topically applicable, cosmetically/dermatologically acceptable support therefor.