A hydromagnetic desalination cell including at least one hollow rectangular flow conduit, a first rectangular magnet and a second rectangular magnet each having a north pole face and a south pole face opposite of each other, wherein the first and second rectangular magnets are disposed along a longitudinal axis and on opposite sides of the rectangular flow conduit, a first opening and a second opening on opposite walls of the rectangular flow conduit extending between the first and second rectangular magnets, and a first and second chamber fluidly connected to the first and second openings. A hydromagnetic desalination system and methods of desalinating brine water with the hydromagnetic desalination system are also disclosed.