The invention relates to an inflatable fender for a marine structure, being so carried on the latter to receive and absorb the shock of a floating vessel or other object as the latter makes contact with the structure. The fender includes a shockabsorbing element adapted to not only absorb the impact of the floating body but to dissipate the force of the impact and recover for a subsequent impact. A second, supporting element includes an inflatable belt of sufficient length to surround a platform support leg. The support element includes an expandable wall which, upon inflation, extends laterally to form an annular, tight grip against the outer surface of the support leg. Thereafter with the fender supported in place, the shockabsorbing element can be provided for as needed.