The electrical conductivity of $(M_2O_3)_x (BaTiO_3)_{1-x}$ has been measured over the temperature range of 30 to 27$0^{circ}C$. The substitution of rare earth oxide such as $La_2O_3$, $Nd_2O_3$, or $Dy_2O_3$ can be represented by $M_2O_3$. The additional mole fraction of the rare earth oxide is ranged over 0.0015 to 0.0030. The electrical conductivity exhibits an anomalous decrease near the tetragonal to cubic transition about 12$0^{circ}C$. The decrease in the electrical conductivity is observed at the higher impurity concentrations owing to space charge layer. The increase in the electrical conductivity is observed as the impurity ion is varied from $La^{+3}$