A semiconductor memory device includes a memory cell array configured to include memory cells, peripheral circuits configured to read out data stored in a selected memory cell in a read operation, and a controller configured to control the peripheral circuits so that the peripheral circuits sense a voltage level of the bit line when a first read voltage of the read voltages is supplied to the word line and the peripheral circuits sense voltage levels of the bit line when a second read voltage lower than the first read voltage by a specific level and a third read voltage higher than the first read voltage by the specific level are supplied to the word line in order to determine whether a threshold voltage of the selected memory cell falls within a set voltage distribution in the read operation.