A potable water producing system for disposition at a body of salt water and a method of producing potable water is provided. The system includes a wave energy conversion system (AWECS) and a portable filtration-anchor system. The AWECS is in the form of a floating articulated barge housing a desalination system including a reverse osmosis membrane. The filtration-anchor system is submerged in the body of salt water and includes a sand filter to filter the adjacent salt water and to provide the filtered salt water to the desalination system on the articulated barge. The action of the waves on the articulated barge provides energy to pump the filtered salt water from the sand filter to the reverse osmosis member to produce potable water. Moreover, the action of the waves on the articulated barge effects the shaking of the reverse osmosis filter, thereby rendering it self-cleaning.