A method of deploying floating photovoltaic (“PV”) modules on water includes attaching first and second sections of a tensioning frame between a first group of mooring buoys. In a first embodiment, the first and second sections are adjoining sections attached to a common one of the mooring buoys and a plurality of PV modules are unrolled from positions adjacent to the first section of the tensioning frame and the PV modules are extended out from the first section. In a second embodiment, the PV modules are unrolled and extended out between two floating platforms. The PV modules are mechanically attached into a contiguous PV array. Third and fourth sections of the tensioning frame are attached between a second group of the mooring buoys to at least partially surround the PV array with the tensioning frame. Tension on the tensioning frame is adjusted to place the PV array under tension.