A magnetic memory according to an embodiment includes: a conductive layer including a first and second terminals; a plurality of magnetoresistive elements separately disposed on the conductive layer between the first and second terminals, each magnetoresistive element including a reference layer, a storage layer between the reference layer and the conductive layer, and a nonmagnetic layer between the storage layer and the reference layer; and a circuit configured to apply a first potential to the reference layers of the magnetoresistive elements and to flow a first write current between the first and second terminals, and configured to apply a second potential to the reference layer or the reference layers of one or more of the magnetoresistive elements to which data is to be written, and to flow a second write current between the first and second terminals in an opposite direction to the first write current.