According to one embodiment, a magnetic memory element comprises a first magnetic unit, a second magnetic unit, a first insulating unit, a first electrode, a second electrode, and a third electrode. The first magnetic unit includes a plurality of magnetic domains. The second magnetic unit includes a first region and a second region. The first region includes a conductive material. The second region includes an insulating material. At least one of the first region or the second region is magnetic. The first insulating unit is provided between the first magnetic unit and the second magnetic unit. The first electrode and the second electrode are connected to the first magnetic unit. A part of the second magnetic unit and a part of the first insulating unit are provided between the third electrode and a part of the first magnetic unit.