The present invention relates to a fluid anhydrous composition comprising, especially in a cosmetically acceptable medium: a) at least 20% of a silicone fatty phase, and b) at least 5% of one or more lipophilic organic UV screening agents, and c) at least one or more C2-C8 monoalcohols. The present invention also relates to the use of said composition for the manufacture of products for the cosmetic treatment of the skin, the nails, the hair, the eyelashes, eyebrows and/or the scalp, especially care products, anti-sun products, makeup products and perfuming products.