The invention relates to a rolling system for rolling strip-shaped rolling stock, comprising at least one first (1, 5) and one second reel (20), and at least one reversing frame (8, 13) between the two reels (1, 5, 20) and comprising associated coil transport means (22, 23, 28) for feeding or removing coils of the rolling stock to and from the respective coil transfer stations (24, 29), if present, and comprising transverse transport means (27) for the coil transport between the coil transfer stations (24, 29, 30). The invention is characterized in that a single common coil transport means (25), by which the coils can be transported from or to the transverse transport means (27), is disposed downstream of the coil transfer stations (24, 29).