A semiconductor memory device includes first to fourth resistance change elements sequentially arranged apart from each other in a first direction, a first electrode which connects one terminals of the first and second resistance change elements, a second electrode which connects one terminals of the third and fourth resistance change elements, a bit line which connects the other terminals of the second and third resistance change elements, first to fourth word lines respectively paired with the first to fourth resistance change elements, arranged apart from the first and second electrodes, and running in a second direction, a first current source which supplies a first electric current to a chain structure, when writing data in a selected element, and a second current source which supplies a second electric current to a selected word line which corresponds to the selected element, when writing the data in the selected element.