A large-capacity and inexpensive nonvolatile semiconductor memory device that prevents a leak current and is operated at high speed is implemented with a nonvolatile variable resistive element. A memory cell array includes the nonvolatile variable resistive elements each including a variable resistor composed of a metal oxide film to cause a resistance change according to an oxygen concentration in the film, an insulation film formed on the variable resistor, first and second electrodes to sandwich the variable resistor, and a third electrode opposite to the variable resistor across the insulation film. A writing operation is performed by applying a voltage to the third electrode to induce an electric field having a threshold value or more, in a direction perpendicular to an interface between the variable resistor and the insulation film, and a resistance state of the variable resistor is read by applying a voltage between the first and second electrodes.