A semiconductor memory element is provided including a laminated structure, in which a memory member and a conductor are superposed on a semiconductor substrate. The memory member has a bottom surface in contact with the semiconductor substrate, an upper surface in contact with the conductor, and side surfaces, which are in contact with and surrounded by a partition wall; the bottom surface of the memory member has a width of equal to or not more than 100 nm; a shortest distance between the conductor and the semiconductor substrate is twice or more of the width of the bottom surface of the memory member; the side surface of the memory member has a width, which is either the same as the width of the bottom surface and constant at any position above the bottom surface, or the widest at a position other than the bottom surface and above the bottom surface.