A catheter having a balloon (10) which has at least one wing (12) in the undilated state, the balloon having at least one fold element (11, 11′, 31, 32, 41, 42) running essentially in the longitudinal direction for each wing (12), such that in folding the balloon (10), the fold element is arranged in an area of the wing (12) with a minimum in the bending radius, said area running in the longitudinal direction. Also disclosed is a system for introducing an intraluminal endoprosthesis, preferably a stent, into a body cavity consisting of an intraluminal endoprosthesis and a catheter having the balloon as described. Further, disclosed are methods of producing such a catheter and such a system.