A positioning system (31, 32, 33, 34 35, 36), particularly for transporting and positioning workpieces, has a drive and force generating transmission device (47) by means of which a carrier device (41) can be moved and positioned. At least one force generating device (70) is connected to the drive and force transmission device (47), which force generating device (70) feeds into the drive and transmission system of the drive and force transmission device (47), an additional force used for compensating the weight of the drive and force transmission device and its moved parts and possibly of a workpiece, to the extent that this force manifests itself at the drives of the drive and force transmission device (47).