An object is to provide a novel semiconductor device which can store data even when power is not supplied in a data storing time and which does not have a limitation on the number of writing operations. The semiconductor device includes a transistor and a capacitor. The transistor includes a first oxide semiconductor layer, a source electrode and a drain electrode which are in contact with the first oxide semiconductor layer, a gate electrode overlapping with the first oxide semiconductor layer, and a gate insulating layer between the first oxide semiconductor layer and the gate electrode. The capacitor includes the source electrode or the drain electrode, a second oxide semiconductor layer in contact with the source electrode or the drain electrode, and a capacitor electrode in contact with the second oxide semiconductor layer.