The topic of this thesis is the design and manufacture of clamping devices for processing by separating particles using a CNC milling machine. The clamping device would be used at the University of the North and would replace the existing clamping device made of aluminum in order to obtain the best possible quality of processing by separating the particle. The diploma thesis consists of a theoretical and an experimental work. In the theoretical part, processing by separating particles, types of processing by separating particles, types of tools and machines are described. Processing procedures by separating the particle by milling and turning are described, since the same will be used for the production of the clamping device. Clamping devices are described, the division of clamping devices, the method of clamping, and the principle of their operation are made. In the experimental part, the design of clamping devices was explained, a 3D model with technical documentation was created, the technological process of making clamping devices was described, a list of the necessary tools and their operating modes was made, and the processing by separating particles in the Esprit program was described. At the end of the work, testing of the clamping device was carried out in order to gain an insight into the functionality of the clamping device