The article describes design of a drive module of a modular mobile chassis. This chassis was developed at the Department of Robotics, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, as a part of the student grant competition “Research and development of modular robotic systems.” The article describes variants and the final mechanical construction of the drive module and also the structural analysis of this module according to the possible positioning in the whole modular system. The obtained results and possible ways of additional future development and modifications of the module are summarized in the conclusion.