A GaN semiconductor device which has a low on-resistance, has a very small leak current when a reverse bias voltage is applied and is very excellent in withstand voltage characteristic, said GaN semiconductor device having a structure being provided with a III-V nitride semiconductor layer containing at least one hetero junction structure of III-V nitride semiconductors having different band gap energies; a first anode electrode arranged on a surface of said III-V nitride semiconductor by Schottky junction; a second anode electrode which is arranged on the surface of said III- V nitride semiconductor layer by Schottky junction, is electrically connected with said first anode electrode and forms a higher Schottky barrier than a Schottky barrier formed by said first anode electrode; and an insulating protection film which is brought into contact with said second anode electrode and is arranged on the surface of said III-V nitride semiconductor layer.