Cerium-doped lutetium-yttrium oxyorthosilicate (LYSO∶Ce) crystals show excellent scintillation properties, and has been widely used in the filed of nuclear medicine, high-energy physics and safety inspection. The crystal structure, luminescent mechanism, main problems in the crystal growth and the possible direction of development of LYSO∶Ce scintillation crystals are reviewed in this paper. Furthermore, the common issues with corresponding solutions in the crystal growth of LYSO∶Ce are summarized, and further the space occupation of Ce3+ ions and the relationship between Ce4+ ions and scintillation properties are discussed. In addition, the latest research results from our groups in LYSO∶Ce crystal growth are displayed and the dimension of 95.42 mm×200 mm of LYSO∶Ce scintillation crystal was grown using medium frequency induction furnace.