A magnetic memory includes a magnetic wire, a first insulating layer, first electrodes a second electrode, a current supplying module, and a voltage applying module. The magnetic wire includes a first portion and a second portion, has a first electric resistance value, and is configured to form magnetic domains. The first electrodes are formed on the first insulating layer, arranged along the magnetic wire, and spaced from each other. The second electrode includes a third portion and a fourth portion. The second electrode is electrically connected to the first electrodes between the third portion and the fourth portion and has a second electric resistance value being larger than the first electric resistance value. The current supplying module is configured to supply the magnetic wire with a pulse current. The voltage applying module is configured to apply a voltage that decreases with time.