Disclosed is the use of UV absorbers selected from (a1) diphenylacrylates (a2) hydroxyphenyl triazines of formula R1, R2 and R3 independently of one another, are C1-C18alkyI (a3) benzotriazole derivatives of formula R4 is a random statistical mixture of at least three isomeric branched secondary alkyl groups each having 8 to 30 carbon atoms and having the formula E1 is a straight-chain C1-C14alkyI E2 is a straight-chain C4-C15alkyl wherein the total number of carbon atoms in E1 plus E2 is from 7 to 29 and R5 is C1-C5alkyI and (a4) dialkyl naphthalate for stabilizing cosmetic compositions comprising R5 and R10 independently from each other are hydrogen C1-C18alkyI or C6-C12aryl R7, R8 and R9 independently from each other are hydrogen or a radical of formula R9 are a radical of formula (3c) R11, R12. R13 and R14 independently from each other are hydrogen hydroxy halogen C1-C18alkyl C1-C18alkoxy C6-C12aryl biphenylyl C6-C12aryloxy C1-C18alkylthio car-boxy -COOM C1-C18-alkylcarboxyl aminocarbonyl mono- or di-C1-C18alkylamino C1-C10acylamino or -COOH M is an alkali metal ion x is 1 or 2 and y is a number from 2 to 10 and a UV-absorber selected from (c1) cinnamic acid derivatives and (C2) dibenzoylmethane derivatives.