The semiconductor device includes an oxide semiconductor; a source electrode and a drain electrode in contact with the oxide semiconductor; a gate insulating film over the oxide semiconductor, the source electrode, and the drain electrode; and a gate electrode overlapping the oxide semiconductor, part of the source electrode, and part of the drain electrode with the gate insulating film positioned therebetween. The source electrode and the drain electrode each include a Cu—X alloy film (X is Mn, Ni, Cr, Fe, Co, Mo, Ta, or Ti), and the thickness of a region of the oxide semiconductor over which neither the source electrode nor the drain electrode is provided is smaller than the thicknesses of regions of the oxide semiconductor over which the source electrode and the drain electrode are provided.