A magnetic memory of an embodiment includes: a first nonmagnetic layer including a first and second faces; a first and second wirings disposed on a side of the first face; a third wiring disposed on a side of the second face; a first transistor, one of the source and the drain being connected to the first wiring, the other one being connected to the first nonmagnetic layer; a second transistor, one of source and drain being connected to the second wiring, the other one being connected to the first nonmagnetic layer; a magnetoresistive element disposed between the first nonmagnetic layer and the third wiring, a first terminal of the magnetoresistive element being connected to the first nonmagnetic layer; and a third transistor, one of source and drain of the third transistor being connected to the second terminal, the other one being connected to the third wiring.