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