A memory device according to an embodiment includes: a plurality of memory cells including a storage element having a first and second terminals; a reference resistor having a third and fourth terminals; a first current source electrically connected to the first terminal of the storage element in the selected memory cell; a second current source electrically connected to the third terminal; and a determination circuit that determines the greater one among a resistance value of a storage element of selected one and a resistance value of the reference resistor, the resistance value of the reference resistor being smaller than a middle value between a mean value of first resistance values obtained from the storage elements in the high-resistance state and a mean value of second resistance values obtained from the storage elements in the low-resistance state, and greater than the mean value of the second resistance values.