A printing press has a printing unit with a print head, which is configured as an ink jet printing head, and a printing material guiding element which can be rotated about a respective rotational axis. The print can be moved along an actuating path in an actuating direction. The actuating direction has a component which is oriented orthogonally to an axial defined by the rotational axis of the printing material guiding element. A threading assembly, for threading in a printing material web along a threading path, is arranged within the printing unit. Parts of the threading path are spaced at least two centimeters from the axial direction in relation to every target region of every nozzle of every printing head of the printing unit. A method for threading a printing material web into the printing unit utilizes the threading assembly.