Abstract: The invention relates to the use of a hydroxymethylglutaryl-coenzyme A (HMG-CoA) reductase inhibitor and of a farnesyl-pyrophosphate synthase inhibitor, or of one of their associated physiologically acceptable salts, in the preparation of a composition, particularly a pharmaceutical composition, for use in the treatment of human or animal, pathological or nonpathological situations related to the accumulation and/or the persistence of prenylated proteins in cells, such as during progeria (Hutchinson-Gilford syndrome), restrictive dermopathy or physiological aging.