A method for cross-winding of thread-like or band-like winding material on winders is described for the production of bobbins wound up in cross-winding with random winding or precision cross winding. The winding material is traversed by a slit drum (1) comprising a slit (5) and is wound up to a bobbin (18). The winding material is traversed by a slit drum (1) comprising at least three parts (2, 3, 2) forming the slit (5) and at least one crossing point (6). The winding material entering the slit drum (1) is guided by an auxiliary apparatus (10), which forces an additional motion to the winding material while passing each crossing point (6) of the slit (5) of the slit drum (1) to maintain the corresponding traversing direction (8).