A magnetic memory structure includes a memory track which has consecutive magnetic domains. Each of the magnetic domains has memory capacity of one bit. A first domain-wall injecting layer intersects and connects a terminal of the memory track and constantly stores a first binary data. A second domain-wall injecting layer against the first domain-wall injecting layer intersects and connects the terminal of the memory track and constantly stores a second binary data different from the first binary data. The memory track and one of the first domain-wall injecting layer and the second domain-wall injecting layer together form a domain wall.