A nonvolatile semiconductor memory device according to an embodiment comprises a memory cell array including plural mutually crossing first and second lines and memory cells arranged at intersections of the first and second lines, each memory cell containing a variable resistance element and a rectifier element connected in series; and a data write/erase circuit operative to apply a voltage required for data write/erase to the memory cell via the first and second lines. The data write/erase circuit includes a first current limit circuit operative to limit the current flowing in the cathode-side line provided on the cathode side of the rectifier element, of the first and second lines, at the time of data write/erase.