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 bis-resorcinyl triazine compound and (iii) at least one compound accepting the excited triplet level energy of said at least one dibenzoylmethane sunscreen, notably at least one 4-hydroxybenzylidenemalonate compound, 4-hydroxycinnamate compound, fluorene compound, piperidinol salt, or mixture thereof, formulated into (iv) a topically applicable, cosmetically/dermatologically acceptable support therefor.