In a semiconductor memory including word lines and bit lines arranged in a matrix and a plurality of memory cells provided at intersections of the word lines and the bit lines, a bit line precharge circuit is provided for controlling the potential of a low-data holding power supply coupled to memory cells provided on a corresponding one of the bit lines. In a write operation, the bit line precharge circuit controls the potential of a low-data holding power supply of a memory cell corresponding to a selected bit line to be higher than the potential of a low-data holding power supply of a memory cell corresponding to an unselected bit line.