The electrical properties of sputtered GDC thin films on $Al_2O_3$ substrates was studied. The electrical properties of the films were measured to evaluate the ion conductivity of GDC thin films for co-planar SOFC electrolytes. The impedance of the GDC thin films on $Al_2O_3$ substrates was affected by the film thickness and the impedance of thin film exhibited higher value than thick films. Similarly, the conductivity of the thick film showed much higher value than thin films. It indicated that the film thickness is the main factor affecting the conductivity and impedance of the GDC electrolyte for the co-planar SOFC.