A combined rolling membrane-balloon catheter, in particular for expanding stenoses in bodily vessels, including: an outer shaft (1) and an inner shaft (4) which is axially displaceable therein, an intermediate shaft (7) situated between the inner and outer shafts (4, 1) which is likewise axially displaceable, a rolling membrane (12) which is attached in a pressure-tight manner between the distal end (2) of the outer shaft (1) and the distal end (11) of the inner shaft (4), and which may be displaced between a passive position within the outer shaft (1) and an active position which is distally expanded from the outer shaft (1) by the action of pressure, and a dilatable balloon (14) which is attached in a pressure-tight manner between the distal end (11) of the inner shaft (4) and the distal end of the intermediate shaft (7), and which may be displaced between a passive position within the outer shaft (1) and proximally in front of the rolling membrane (12), and an active position which is distally expanded from the outer shaft (1), within the rolling membrane (12), by the action of pressure.