A semiconductor memory includes a cell array including a plurality of resistive memory cells in which a plurality of columns and a plurality of rows are arranged, a read voltage application circuit configured to apply a read voltage to a selected memory cell of the plurality of resistive memory cells, a sensing circuit configured to detect an amount of a current flowing through the selected memory cell and sense data, and an overcurrent prevention circuit configured to reduce voltage levels at both ends of the selected memory cell when an overcurrent flows through the selected memory cell.