A method for producing a semiconductor memory device includes forming two Si pillars on a substrate. In the Si pillars, inverter circuits are formed. The inverter circuits include drive N-channel SGTs each including first and second N+ layers functioning as a source and a drain, and load SGTs each including first and second P+ layers functioning as a source and drain. Selection SGTs each including third and fourth N+ layers functioning as a source and a drain are formed above SiO2 layers disposed above the inverter circuits. The first N+ layer is connected to a ground wiring metal layer. The first P+ layers are connected to a power supply wiring metal layer through a NiSi layer. Gate TiN layers are connected to a word-line wiring metal layer through a NiSi layer. The third N+ layers are connected to an inverted bit-line wiring metal layer and a bit-line wiring metal layer.