Rubber composition in particular for tyres, based on at least one diene elastomer, one reinforcing filler, one crosslinking system and one antioxidant system, characterized in that said antioxidant system comprises at least two antioxidants 'A' and 'B': A. an N-alkyl-N'-phenyl-para-phenylenediamine corresponding to formula (I): B. a 4,4'-bis(alkylamino)triphenylamine corresponding to formula (II): in which formulae, R1, R2 and R3, which may be identical or different, are each a linear or branched alkyl group containing from 1 to 12 carbon atoms or a cycloalkyl group containing from 5 to 8 carbon atoms, wherein the A/B weight ratio is between 0.2 and 5.0. Such an antioxidant system confers on the composition of the invention better long-term resistance to fatigue and to the propagation of cracks.