A semiconductor memory device comprising: a memory cell array in which memory cells each containing a variable resistive element and a rectifier element connected in series are arranged at intersections of a plurality of first wirings and a plurality of second wirings; and a control circuit for selectively driving said first wirings and said second wirings; wherein said control circuit applies a first voltage to said selected first wiring, and changes said first voltage based on the position of said selected memory cell within said memory cell array to apply a second voltage to said selected second wiring, so that a predetermined potential difference is applied to a selected memory cell arranged at the intersection between said selected first wiring and said selected second wiring.