Abstract: A method and apparatus for winding a continuously advancing yarn, wherein the yarn is wound on a driven tube to a cross-wound package, with the yarn being reciprocated by a traversing yarn guide within a traverse stroke. The length of the traverse stroke is periodically changed, each time with a modified stroke cycle, with the yarn being deposited at the beginning of the modified stroke cycle in a starting reversal point on the outer edge of the cross-wound package. To prevent the yarn from being deposited on the circumference of the package at the same point after completion of the modified stroke cycle, the speed and/or the traverse stroke of the traversing yarn guide are controlled such that after completing the modified stroke cycle, the yarn is deposited at an end reversal point on the outer edge of the cross-wound package which is offset from the starting reversal point at the beginning of the modified stroke cycle.