A seawater distillation system for distilling seawater and brine and removing salt. The seawater distillation system includes an apparatus having at least a vessel, a separation assembly, and at least one mist eliminator. The vessel may be adapted to hold a volume of seawater comprising a volume of salt, wherein vessel is one of externally heated and internally heated to evaporate the volume of seawater to a volume of steam and to precipitate the volume of salt. The separation assembly may be operably engaged with the vessel, wherein the separation assembly is configured to separate the volume of salt from the volume of seawater inside of the vessel. The at least one mist eliminator may be operably engaged with the vessel and positioned vertically above the separation assembly, wherein the at least one mist eliminator is configured to eliminate water droplets and salt from the volume of steam.