A magnetic memory device comprises a magnetic wire extending in a first direction, a pair of first electrodes operable to pass a current through the magnetic wire in the first direction or in an opposite direction to the first direction, a first insulating layer provided on the magnetic wire in a second direction being substantially perpendicular to the first direction, a plurality of second electrodes provided on the first insulating layer and provided at specified interval in the second direction, and a third electrode electrically connected to the plurality of second electrodes.