According to one embodiment, a magnetic memory device includes a magnetic portion, a first magnetic layer, a first nonmagnetic layer, a first element portion, first to third interconnects, and a controller. In a first operation, the controller sets the first interconnect to a first potential, the second interconnect to a second potential, and the third interconnect to a third potential. An absolute value of a difference between the second potential and the third potential is greater than that between the first potential and the third potential. In a second operation, the controller sets the first interconnect to a fourth potential, the second interconnect to a fifth potential, and the third interconnect to a sixth potential. An absolute value of a difference between the fifth potential and the sixth potential is less than that between the fourth potential and the sixth potential.