When developing new products, more and more attention is paid to reliability and safety aspects, which is a consequence of the shorter duration of development projects caused by specific needs and competition in the market. Special attention to safety and reliability is also paid within specific technological branches, such as the development of medical devices. Therefore, this thesis aims to provide an overview, implementation and discussion of different reliability and safety analysis methods with an example from a medical robot development project. When preparing the work, special attention was given to the theoretical introduction and description of the chosen methods. The methods were selected based on a review of the available literature in the fields of medical device safety. After selecting the methods, each is presented and described, and the procedure for their implementation is laid out. According to established procedures, detailed analyses of the NERO system's reliability and security were carried out. Finally, the obtained results are presented and described, with design changes to critical subsystems made based on them. The design changes aim to achieve higher reliability and safety of the overall system but also to record knowledge needed to guide further system development. During the implementation of the above-mentioned procedures, all preparatory actions were carried out based on the selected methods. Also, before the actual implementation of the analysis, the NERO system is briefly presented and described, for which the reliability and security analyses were carried out.