Tb3Sc2Al3O12(TSAG)　crystal　was　successfully　grown　by　the　edge-defined　film-fed　growth　method.　The　crysal　structure　was　determined　by　powder　XRD　and　single　crystal　X-ray　diffraction　analysis.　The　influence　of　the　sintering　temperature　of　polycrystalline　materials　on　the　crystal　colour　was　also　investigated.　The　results　of　Sc3+　and　Al3+　concentrations　in　crystal　show　that　the　uneven　distribution　of　Sc3+　in　crystal　induced　by　the　segregstion　effects　can　be　restrainted　by　EFG　method.　The　test　results　of　the　magneto-optical　effect　show　that　as-grown　TSAG　crystal　still　has　high　Verdet　constant,　which　only　6%-8%　lower　than　that　of　TAG　crystal　in　the　wavelength　of　400-1100　nm.