A travel stand for a mobile X-ray diagnostic machine with a laser detection system containing measurement devices to determine the position of the travel stand in a spatially fixed system of coordinates is provided. The measuring devices can operate by non-contact measurement techniques and that the position of the travel stand can be determined by techniques such as triangulation. An X-ray diagnostic machine with such a position detection system offers advantages in the 3D reconstruction from 2D X-ray projection images and in navigationally guided operations under X-ray monitoring.