According to a method for fabricating a semiconductor device, a first semiconductor layer made of a first nitride semiconductor is formed over a substrate. Thereafter, a mask film covering part of the upper surface of the first semiconductor layer is selectively formed on the first semiconductor layer. A multilayer film, in which second and third nitride semiconductors having different band gaps are stacked, is selectively formed on the first semiconductor layer with the mask film used as a formation mask. On the multilayer film, an ohmic electrode is formed.