The present invention provides a floating tower frame for an ocean current turbine system comprising multiple rotors, which is designed to generate electrical power or high pressure seawater for reverse osmosis or fresh water production from steady (gyre) or tidal currents. Turbines are mounted near the base of a plurality of floating towers held in parallel between a horizontal truss structure above water and a horizontal wing at the base of the towers, below the surface. The center of gravity of the system is located in the bottom one third of the towers below the water line, while the center of buoyancy is in the top third of the towers below the surface, and the entire structure floats vertically, with respect to the towers.