Abstract 0.2 wt % $Fe_2O_3$ doped $SrTiO_3$ single crystals were grown by floating zone method in air and Nz atmosphere, respectively. The growth rate was fixed at 5 mm/hr and rotation speed was maintained at 30 rpm. As - grown crystals were cut perpendicular to its growth direction and then, annealed at 900, 1000 and $1100^{circ}C$ for 2 hours in Nz atmosphere. Resistivities of each samples were measured and then converted into conductivities. By using these conductivity values, the activation energies were calculated and by means of the calculated activation energies, mechanism which contribute to increasing the electrical conductivity were investigated.