To provide a memory device which operates at high speed or a memory device in which the frequency of refresh operations is reduced. In a cell array, a potential is supplied from a driver circuit to a wiring connected to a memory cell. The cell array is provided over the driver circuit. Each of memory cells included in the cell array includes a switching element, and a capacitor in which supply, holding, and discharge of electric charge are controlled by the switching element. Further, a channel formation region of the transistor used as the switching element includes a semiconductor whose band gap is wider than that of silicon and whose intrinsic carrier density is lower than that of silicon.