Mg-doped GaN films were grown with GaN buffer layers on a sapphire substrate. Hall-effect measurement of as-grown GaN films showed that the hole concentration was 2 x 10(15)/cm3, the hole mobility was 9 cm2/V.s and the resistivity was 320 OMEGA.cm at room temperature. After the low-energy electron-beam irradiation (LEEBI) treatment, each value became 3 x 10(18)/cm3, 9 cm2/V.s and 0.2 OMEGA.cm at room temperature, respectively. This value of the hole concentration is the highest ever reported for the p-type GaN films and that of the resistivity is the lowest.