According to one embodiment, a semiconductor includes a first wiring, a second wiring, a first electrode, a second electrode and a memory cell. The first wiring extends in a first direction. The second wiring extends in a second direction crossing the first direction. The first electrode is connected to the first wiring. The second electrode is connected to the second wiring. The memory cell is arranged between the first electrode and the second electrode. The memory cell includes a memory element electrically connected to the first electrode, and a selector provided between the memory element and the second electrode and electrically connected to the second electrode, and the memory element and the selector are of a same conductivity type.