A semiconductor memory device includes first lines and second lines and a memory cell array. The first lines and second lines are formed to intersect each other. The memory cell array includes memory cells arranged at intersections of the first lines and the second lines and each formed by connecting a rectification element and a variable-resistance element in series. The rectification element includes a first semiconductor region having an n-type and a second semiconductor region having a p-type. At least a portion of the first semiconductor region is made of a silicon-carbide mixture (Si1-xCx (0