The invention relates to a cosmetic care method for preventing or retarding the appearance of the signs of ageing of the skin or for attenuating the effects thereof. This method is characterized in that it comprises the delivery, to at least part of the skin of the face or body, of an effective amount of at least one cosmetically acceptable active agent that activates or stimulates the activity of cutaneous mitochondrial aconitase. The invention makes it possible to achieve an anti-ageing effect.