Crystalline　yttrium　iron　garnet　(YIG)　is　an　important　magneto-optical　material.　However,　this　crystal　is　an　incongruent　melting　compound.　As　is　well　known,　compared　to　the　crystal　growth　of　a　congruent　melting　compound　by　using　the　Czochralski　method,　the　crystal　growth　of　an　incongruent　melting　compound　is　more　difficult.　In　this　work,　a　system　for　growing　Ga:YIG　single　crystals　by　the　edge-defined　film-fed　growth　(EFG)　method　was　designed　and　constructed,　and　the　mechanism　of　crystal　growth　was　also　preliminarily　studied.　The　Ga3+　dopant　concentration,　the　Curie　temperature　and　the　transmission　spectra　of　as-grown　crystals　were　investigated　to　evaluate　their　potential　application　in　magneto-optical　devices.　The　success　of　growing　Ga:　YIG　crystals　by　the　EFG　method　provides　a　new　way　to　grow　other　incongruent　melting　compounds.