Provided is a device for the alignment of sheets in a printing machine, said device comprising two pairs of rollers for the alignment of the sheets in their advance direction, for the alignment transverse to their advance direction and with respect to skewing, whereby each pair of rollers consists of a driving roller and of a counter-pressure roller. One drive unit is provided for each of the two driving rollers, whereby each of the drive units consists of a motor and a drive shaft linked therewith, whereby the driving rollers are non-torsionally accommodated on respective drive shafts. The driving rollers can be slid in linear direction on their drive shaft, or the respective drive shafts, and thus the driving rollers accommodated thereon, can be linearly shifted with respect to their drive motors.