A cross-point memory device including memory cells each includes: a variable resistance element that reversibly changes at least between a low resistance state and a high resistance state; and a current steering element that has nonlinear current-voltage characteristics, and the cross-point memory device comprises a read circuit which includes: a reference voltage generation circuit which comprises at least the current steering element; a differential amplifier circuit which performs current amplification on an output voltage in the reference voltage generation circuit; a feedback controlled bit line voltage clamp circuit which sets the low voltage side reference voltage to increase with an output of the differential amplifier circuit; and a sense amplifier circuit which determines a resistance state of a selected memory cell according to an amount of current flowing through the selected memory cell.