The effect of crystallite size and applied DC bias voltage on dielectric permittivity of CuO was studied using impedance spectroscopy. The measurements were performed at room temperature in a wide frequency range of 1 Hz to 1 MHz under applied DC bias voltages from 0 to 3 V in the periodic increment of 0. 2 V. The observed applied DC bias voltage effect on giant dielectric constant (e{open}′ = 104) were analyzed with 'grain boundary double Schottky potential barrier height model'. The percentage of tunability (T %) at the frequency 100 Hz is found to be 45. 5% for the case of nanocrystalline CuO in contrast to 0% tunability in bulk CuO. © 2013 The Korean Institute of Metals and Materials and Springer Science+Business Media Dordrecht.