Examples include a die-cutting unit that includes a device for changing a die-cutting cylinder. The die-cutting unit includes at least one die-cutting cylinder and at least one anvil cylinder. The die-cutting cylinder is arranged in a die-cutting position for die-cutting, and the at least one die-cutting cylinder is exchangeable for at least one other die-cutting cylinder by means of the device for changing the die-cutting cylinder. A shortest straight connecting line between the axis of rotation of the die-cutting cylinder in the die-cutting position and the axis of rotation of the die-cutting cylinder in the move-out position is inclined less than 30 degrees with respect to a horizontal plane. Further, a shortest straight connecting line between the axis of rotation of the die-cutting cylinder in the move-out position and a maintenance position is inclined less than 30 degrees with respect to a vertical direction.