The area of application of contactless measuring systems has been rapidly growing over the past two decades. Development of contactless measuring methods can also be observed in Coordinate Metrology. Due to the growing number of contactless systems found in industry, there is also a growing interest in the issue of their accuracy among research centres. The interesting new solution which can be applied in contactless measurements is the usage of fiducial markers in dimensional metrology. In this paper, the authors present a simple and cheap optical system and try to assess its accuracy. A calibration process of a reference plate is described as well. Research was conducted for basic measuring tasks met in Coordinate Measuring Technique. Markers are attached to the z-axis ram of Coordinate Measuring Machine which is used as a reference system. The article presents the results obtained for basic measuring tasks, which can be a basis for further research aimed at improving the accuracy of measurements performed using fiducial markers.