A conveying device directs printed products past a stationarily arranged ink jet printer. A control system initiates a printing operation by the printer each time a printed product passes through the effective printing zone or region of the printer. The conveying device comprises an individual conveyor equipped with gripper units arranged in spaced relationship from each other, each of which is structured to take-up or engage one printed product. The control system includes a pulse generator driven by the individual conveyor and transmits a control pulse for each one of the gripper units. The control pulse is suppressed by a monitor responsive to empty gripper units. Since the printed products are conveyed by the gripper units, their reference position relative to the conveying device is defined over the entire product conveying path. The control signal initiating the printing operation thus can be utilized for initiating other operations after passing through a delay element.