A device for laterally aligning a sheet on a feeding table of a sheet-processing machine, wherein a sheet is moved transversely to the sheet-transporting direction by a pulling device, and a multiple-sheet monitoring device activatable during the pulling operation is assigned to the pulling device, includes another pulling device disposed opposite the first-mentioned pulling device, and a pressure-exerting roller with multiple-sheet monitoring assigned to each of the pulling devices, respectively, for sheet stabilization.