A magnetic memory includes a first magnetic line, an electrode, a write-in portion, a second magnetic line, and a spin-wave generator. The first magnetic line has a plurality of magnetic domains and domain walls, the domain wall separating the magnetic domain. The electrode is provided to both ends of the first magnetic line. The write-in portion is provided adjacent to the first magnetic line. The second magnetic line is provided so that the second magnetic line intersects with the first magnetic line. The spin-wave generator provided to one end of the second magnetic line. The spin-wave detector provided to the other end of the second magnetic line.