Laser processing machines (work stations) for laser marking workpieces can include a work space with a height-adjustable marking laser component (“height-adjustable laser component”) and a height-adjustable machine component in the form of a protection door that closes off the work space in a light-tight way. As the lens of the marking laser is directed downward, workpieces to be marked are positioned correspondingly under the marking laser. The focal distance between the workpiece and the marking laser must be relatively precise to facilitate laser marking the workpiece. The marking laser is generally displaced vertically relative to the workpiece to bring the marking laser to the height where the focal distance is correct. The protection door and the marking laser can be automatically driven, but generally only the protection door is equipped with a direct weight compensation system, such as a counterweight, gas spring or spring balancer. Laser marking generally does not implement very high displacement speeds so the axles of the displacement systems can be equipped with relatively small drives.