A method for stabilizing an unsaturated organosilicone is disclosed wherein a stabilizing amount of a hydroxylamine compound is added to the organosilicone to prevent thermal polymerization of the latter. The organosilicone may be an alkoxysilane or an organopolysiloxane having in its molecule a reactive organic group bearing at least one radical selected from acryloxy, methacryloxy, acrylamide, methacrylamide, styryl or vinylbenzyl radicals. The hydroxylamine compound may be added either to the organosilicone or during the preparation of the alkoxysilane from its respective reactants.