A semiconductor memory device includes: a semiconductor layer provided on an insulating substrate or an insulating layer; active areas each defined in the semiconductor layer with a device insulating film buried therein; and NAND cell units formed on the active areas, each NAND cell unit including a plurality of electrically rewritable and non-volatile memory cells connected in series, both ends of each NAND cell unit being coupled to a source line and a bit line, wherein the device has such a carrier discharging mode as to discharge channel carriers in the NAND cell unit to at least one of the source line and the bit line.