(1) Saltwort is native to Europe, Asia and North America. Saltwort is an annual that can grow to 2' tall. The leaves are scaly and turn a brilliant red in the fall. Saltwart grows in salty marshes.(2) SALTWORT , a perennial bush that grows on salt marshes around the world, has unexpectedly turned out to be a nutritious food source. The plant could become a new crop for farmers whose land is too choked with salt to support ordinary crops.