A transistor having a multi-layer structure of oxide semiconductor layers is provided in which a second oxide semiconductor layer having a crystalline structure including indium zinc oxide is formed over a first oxide semiconductor layer having an amorphous structure, and at least a third oxide semiconductor layer is formed stacked over the second oxide semiconductor layer. The second oxide semiconductor layer mainly serves as a carrier path for the transistor. The first oxide semiconductor layer and the third oxide semiconductor layer each serve as a barrier layer for suppressing entrance of impurity states of an insulating layer in contact with the multi-layer structure to the carrier path.