In the present investigation 20GDC (Ce 0.8 Gd 0.2 O 2-δ ), nano powder was synthesized from the sol-gel method. The nano powders were sintered at 1400 o C for 2hours by converting into pellets. The density of sintered pellets measured from the Archimedes method was found to be around 96%. XRD of 20GDC powder and sintered pellets shown were in cubic fluorite structure. Morphology of 20GDC powder was sintered pellets by using SEM. Grain size was measured from the linear intercept method. Dielectric properties (AC conductivity, Dielectric constant and loss tangent) were measured for 20 GDC samples using Solatron Impedance analyzer with temperatures ranging from 300 o C to 800 o C and with a variation of frequency from 1 KHz to 1MHz.