Abstract: A winding machine for plastic foil webs has two pairs of arms which can be swung about a common axis and which all have the same length so that the pairs of arms rotate like the hands of a clock. As one pair of arms has a roll wound on a winding sleeve therebetween, the other pair of arms holds its winding sleeve in readiness at a rest position. When the finished roll is swung away from the winding position and is severed from the oncoming web, the winding tube between the second arms is brought into the winding position.