The invention relates to digital memorizing devices using magnetic memory elements. A memory on cylindrical magnetic domains comprising a single-axis magnetic layer (1) and, mounted on its surface, an input-output channel (5), information storage registers (2), a device (36) for generating cylindrical magnetic domains and a device (37) for reading-out the cylindrical magnetic domains. The channel (5) consists of meander-shaped conductors (25, 26) located above each other. Above the channel (5) is located an additional conductor (38), identical to the conductor (26), in which the space (42), limited by the sides of the neighbouring loops (39, 40) of the meander and facing the registers (2), is fully filled with an electric conductive material. The information storage registers (2) are magnetically connected to the channel (5) and consist of electric conductive layers (6, 7, 8) with periodically alternating openings (9, 12; 10, 13; 11, 14).