A semiconductor memory device includes a memory cell array which includes a plurality of memory cells which are arrayed in a matrix at intersections between a plurality of word lines and a plurality of bit lines and a power supply circuit which includes a first band gap reference circuit which outputs a first output voltage, and a second band gap reference circuit which outputs a second output voltage having lower temperature characteristics than the first output voltage on a low temperature side, and generates a power supply voltage on the basis of the second output voltage at a time of a data write operation of the memory cells.