A water mill, power generator, for use underwater, has a flexible support shaft which permits the water current to orient the turbine axis substantially parallel to the direction of flow so that the force of the water on the blades is optimized for a given turbine, without the need for slip ring style connections between the generator at the turbine and the 5 anchored base. Optionally, the design features fins or cowlings on the flexible support shaft to further improve reorientation of the turbine with the water current or flow acting as the source of power; and/or output power links or power conditioning systems at the anchored base. The generators may be selected to meet low rotation operating conditions, and the entire system may be designed for particular ocean bottom and/or current parameters applicable to the 10 deployment.