This diploma thesis deals with design of positioning unit for laser spectroscopy and its realization to shape of prototype. The design of positioning unit is based on the analysis of the current state of knowledge in the field of remote laser spectroscopy systems. Precise harmonic drive and worm drive with stepper motors are used to drive. The main parts of positioning unit are designed primarily from duraluminium. The positioning unit will be used for experimental measurements at the Institute of Physical Engineering Faculty of Mechanical Engineering Brno University of Technology. 3D digital prototype and technical drawings were created in Autodesk Inventor 2010.