Strontium sodium lithium niobate (SNLN) single crystal possesses good electro-optical properties, but at room temperature only its metastable phase can be obtained. An eutectoidal decomposition will take place when the grown crystal is cooled slowly across the eutectoid horizontal which is about 1200℃. Single crystal up to 10 mm diameter and 15 mm in length were grown by the Czochralski method. Large temperature gradient is adopted during the growth period. The grown crystal is cooled at a higher cooling rate acress the eutectoid horizontal to avoid decomposition. The major problems in the process of growth and cause of crystal cracking are discussed.