A cosmetic composition has an association of at least three of the following substances with anti-free radical activity, selected from: A cosmetic composition has an association of at least three of the following substances with anti-free radical activity, selected from: 1) ebselen; or idebenone; or an association of the two; and 2) at least one substance with anti-free radical activity, or at least two substances with anti-free radical activity for obtaining said association of at least three substances with anti-free radical activity, said substance(s) being selected from: a) a substance of chemical formula (I) below: ##STR00001## in which:R=a linear or branched, saturated or unsaturated C.sub.1-C.sub.16 hydrocarbon chain; andR.sub.1, R.sub.2 and R.sub.3 are identical or different and are a hydrogen atom or a methyl or methoxy radical,and its esters; b) an extract of Edelweiss; c) an extract of Emblica; and d) N-acetylcysteine. The anti-free radical activity is greatly improved.