Sheets are conveyed through a printing machine with improved reliability of the suction grippers. The apparatus for conveying a sheet through a printing machine has a cylinder with grippers in a channel for holding the sheet at its leading edge, circulating grippers for holding and for transferring the sheet from the cylinder at its leading edge, and circulating, radially positionable suction grippers for holding the sheet at its trailing edge. An actuating apparatus opens and closes the grippers and controls vacuum for the suction grippers. A drive for the cylinder and circulating grippers and suction grippers. A control device switches on and off the sheet feed to the cylinder. The suction grippers can be moved in the radial direction into a rest position when the sheet feed is switched off.