The present invention relates to a dermatological and/or cosmetic composition which is intended for the treatment of acne, seborrheic dermatitis and skin disorders associated with the formation of comedones. The invention is characterised in that it contains: as active principle, at least one lipophilic antioxidant which is selected from the group comprising gallates, flavonoids, butyl-hydroxytoluene (BHT), butyl-hydroxyanisole (BHA), octadecenedioic acid and hydroxydecanoic acid; and at least one second active principle in the form of a hydrophilic antioxidant selected from the group comprising mannitol, vitamin C, lysine azelate, rutin and quercetin.