The present invention relates to cosmetic compositions comprising an association of hydroxymethionine and 3-aminopropanesulfonic acid, and a cosmetic method for the skin. These compositions are intended to prevent and/or treat the signs of the cutaneous ageing such as the sagging of the cutaneous and subcutaneous tissue, the loss of cutaneous elasticity and atony of the texture of the skin, the loss of firmness and tonicity, dermal atrophy and loss of density, wrinkle, little wrinkle, crack.