Single　crystal　fibers　of　Ta2O5　have　been　grown　by　the　Laser　Heated　Pedestal　Growth　(LHPG)　technique　up　to　several　cm　in　length　with　diameters　of　1.1　mm.　The　as　grown　crystal,　characterized　by　X-ray　diffraction,　dielectric　measurement　and　thermal　expansion　analysis,　has　Htri-Ta　2O5　symmetry.　Dielectric　permittivity,　loss　tangent　along　[001]　and　[110]　direction　were　investigated　over　the　temperature　range　from　-180°C　to　100°　C.　Large　dielectric　anisotropy　in　Ta2O　5　single　crystal　was　observed.　At　room　temperature,　the　dielectric　permittivity　(1　MHz)　along　the　[001]　is　33.2,　while　that　along　the　[110]　is　231.9.　The　reason　of　dielectric　enhancement　in　Ta2O5　crystal　grown　by　LHPG　was　also　discussed.