The solid solution oxides of CeO 2–Y 2O 3 and ZrO 2–Y 2O 3 are useful crystals as solid state ionics, which are applied to sensors, solid electrolytes and other advanced devices such as SOFC. However, in the ternary system of CeO 2–ZrO 2–Y 2O 3, the decrease in oxide ion conductivity is observed by mixing ZrO 2 and CeO 2. In this work, the oxygen movement and the doping effect of CeO 2 to ZrO 2–Y 2O 2 are examined by the mechanical loss measurement of polycrystalline bodies. We discuss the difference of the mobility of oxygen, which is the origin of mechanical loss in the crystals, by comparing the mechanical loss peaks in a series of solid solutions, Zr 0.8− x Ce x Y 0.2O 1.9 ( x=0–0.4). The low temperature mechanical loss at 300–820 K spectra were measured for Zr 0.8− x Ce x Y 0.2O 1.9 ( x=0–0.4). We observed two loss maxima of Debye-type relaxation which are related to local jumps of oxygen, and their strong Ce-doping level dependence. The activation enthalpy of 1.2 eV suggested the simple relaxation of an oxygen in the pairs of oxygen vacancies and Y ions in nearest neighbor (peak 1). Additional maximum (peak 2) with H=2.2 eV, which appeared at high temperature and are related to defect agglomerates with the same more than one dopant cation, disappeared with the Ce-doping of x=0.2 and 0.4. The loss (peak 1) amplitude also decreased with increasing of Ce-doping content, but with the same activation enthalpy (1.1–0.9 eV). The addition of CeO 2 in Y 2O 3–ZrO 2 was found to reduce the mobility of oxygen vacancies under elastic field.