To provide a highly integrated semiconductor memory device. To provide a semiconductor memory device which can hold stored data even when power is not supplied. To provide a semiconductor memory device which has a large number of write cycles. The degree of integration of a memory cell array is increased by forming a memory cell including two transistors and one capacitor which are arranged three-dimensionally. The electric charge accumulated in the capacitor is prevented from being leaking by forming a transistor for controlling the amount of electric charge of the capacitor in the memory cell using a wide-gap semiconductor having a wider band gap than silicon. Accordingly, a semiconductor memory device which can hold stored data even when power is not supplied can be provided.