This　paper　reports　the　growth　and　spectral　assessments　of　Yb3+　ion　doped　MgMoO4　(Yb3+:　MgMoO4)　crystal　grown　by　the　TSSG　method.　Polarized　spectral　properties　of　Yb3+:　MgMoO4　crystal,　including　absorption　and　emission　cross-sections,　absorption　FWHM　and　fluorescence　lifetime,　have　been　investigated.　The　laser　performance　parameters　beta(min),　I-sat　and　I-min　have　also　been　evaluated.　All　the　investigated　results　show　the　Yb3+-doped　MgMoO4　crystal　is　expected　as　a　promising　candidate　for　ultrashort　pulse　and　tunable　lasers.