Abstract: In a process for producing cross-wound packages in a yarn winding device of a textile machine, the helix angle of the wound-on yarn changes during winding on. The helix angle is a variable chosen in dependence on the diameter of the yarn package. This diameter of the package is in turn calculated on the basis of the length of the yarn already wound on. An arrangement for producing cross-wound packages on a number of yarn winding devices comprises a drive for rotating the cross-wound package. A variable, driveable yarn guide is provided at each yarn winding device for laying a yarn in axial direction of the cross-wound package at a variable helix angle. A common sensor for measuring the package diameter at a number of yarn winding devices is provided, which sensor can be positioned to the yarn winding devices one after another.