The superconducting current-limiting device contains at least one coil (61), the conductive track of which is formed from at least one band-shaped superconductor (17), where a holding element (2, 41, 10, 51, 62) is located between adjacent coil windings. The holding element (2, 41, 51, 62) is constructed wider than the superconductor (17) in the axial direction of the coil (61). The holding element (2, 41, 51, 62) further includes a flat strip (11) and an undulating strip (12, 42, 52). The flat strip (11) extends essentially parallel to the band-shaped superconductor (17) at an essentially constant distance (22) therefrom. The undulating strip (12, 42, 52) extends essentially parallel to the flat strip (11), and in the longitudinal direction periodically has regions (15, 43, 53) distant from and regions (13) close to the flat strip (11). The regions (13) of the undulating strip (12, 42, 52) near to the flat strip have a mechanical connection (21) to the flat strip (11). The regions (15, 43, 53) of the undulating strip far from the flat strip have recesses (16) of such a kind that an at least approximately close-fitting mounting of the band-shaped superconductor (17) relative to the flat strip (11) is facilitated.