A magnetic memory element is provided with first and second ferromagnetic fixed layers, a ferromagnetic memory layer, nonmagnetic first and second intermediate layers. The memory layer is disposed between the first and second fixed layers, and has a variable magnetization direction. In order to cancel asymmetry of a write-in current of the element, the element is provided so that the memory layer receives a larger perpendicular stray field from the first fixed layer than from the second fixed layer, and then a magnetization direction of a portion of the memory layer being nearest to the first intermediate layer and the magnetization direction of the first fixed layer are antiparallel to each other whenever a magnetization direction of a portion of the memory layer being nearest to the second intermediate layer and the magnetization direction of the second fixed layer are parallel to each other, and vice versa.