Perdeuterated hexaflouroacetylacetonato-ytterbium [Yb(SOL-D)$_3$] complexes are synthesized by the keto-enol tautomerism reaction of Yb(SOL-H)$_3$ in methanol-d$_4$ in order to reduce the radiationless transition to the ligands for the high power solid state laser material. The luminescence properties of Yb(SOL-D)$_3$ complex are measured in the following anhydrous deuterated organic solvents ; Methanol-d$_4$, THF-d$_{8}$, PO(O$CH_3$)$_3$ and DMSO-d$_{6}$. The Luminescence intensity, lifetime and quantum efficiency in DMSO-d$_{6}$ are superior to those in other deuterated solvents. It is suggested that the anhydrous DMSO-d$_{6}$ might be the most appropriate solvent for the laser material of Yb(SOL-D)$_3$ complex.complex.