Abstract: Apparatus and method for mooring a tension leg platform at an offshore location wherein the tensioned cables of the platform legs are laterally supported by a plurality of rigid, fixed-dimensioned support members which interconnect the legs and are vertically spaced at predetermined positions along the cables to reduce the unsupported length thereof and to thereby increase the fundamental frequency of the cables to a value higher than the flutter frequencies likely to be encountered. Resonant fluttering of the cables due to vortex shedding is thereby prohibited and the useful life of the cables is extended. The support members can be variably buoyant and/or can be adapted to provide storage for fluids produced at the offshore location.