An arrangement for winding up at least two material webs, in particular film webs, having at least two receiving devices, for the rotatable mounting of at least one winding core each. The receiving devices are transferable between a winding position for winding up at least one material web on the winding core, and a removal or loading position, respectively, for removing at least one winding core which has finished being wound up, or for feeding at least one empty winding core. At least two winding cores are coaxially arranged in the receiving device for simultaneously winding up the material webs on separate winding cores, the winding cores each being rotatably mounted in two bearing sites adjacent to the respective winding core. The receiving device has at least three carrying arms, one winding core each being mounted between two carrying arms.