A yarn takeup apparatus for winding a continuously advancing yarn into yarn packages and which has a rotatable winding turret which supports for rotation two winding spindles. By the rotation of the winding turret, the winding spindles are moved alternately to a winding range and a doffing range. To this end, the winding spindles are mounted on the winding turret such that the spindles are movable relative to the winding turret respectively between a radially outer position and a radially inner position by a moveable spindle mount. At the beginning of the winding operation, the winding spindles are in the outer position, and during the build of the package, an evasive movement of the winding spindle is performed by movement of its mount and/or rotation of the winding turret.