The effect of the co-doped Yb2O3 on the transport characteristics and stabilization of the cubic phase in solid solutions based on ZrO2−Sc2O3 has been carried out.(ZrO2)1-x-y(Sc2O3)x(Yb2O3)y solid solution crystals, where (x = 0.07-0.09; y = 0.01-0.03), were grown by directional crystallization of the melt in a cold crucible. It is shown that crystals with a cubic fluorite structure were obtained at a total concentration of stabilizing oxides Sc2O3 and Yb2O3 above 10 mol%. Crystals with a total concentration of stabilizing oxides of 10 mol%, having a pseudocubic t'' -phase structure, at a fixed concentration of Sc2O3, have the maximum conductivity. It is shown that an increase in the Yb2O3 concentration in the field of cubic solid solutions leads to a decrease in the conductivity of the crystal. Crystals (ZrO2)0.9(Sc2O3)0.09(Yb2O3)0.01 have the maximum conductivity in the entire temperature range.