Abstract: The suspension device for the support legs of a jack-up oil platform having a hull movable along the legs includes a driving mechanism having a plurality of output gear pinions cooperating with racks mounted along at least a part of the legs. Each of the output gear pinions is drivable by an electric motor associated with a speed reducer which is pivotally mounted on a structure which is connected to the hull and has at least one bearing which allows a given angular movement of the speed reducer and each corresponding output gear pinion. Each speed reducer cooperates with an energy absorbing mechanism including at least one torsionally elastically yieldable support element connected to a corresponding speed reducer and affording a progressive absorption of shock particularly at the moment when the legs contact the sea floor.