The paper shows the method of production of clamping elements for CNC machines using additive manufacturing. The combination of 3D printing and CNC processing shows the synergy of additive technologies and conventional CNC machining processes. The clamping elements of CNC machines are described in order to make it easier to understand the importance of fixing the workpiece before machining. Polymer and composite materials that can be used for positioning and fixing workpieces are shown. Also, additive technologies and procedures that can be used for the production of clamping elements of CNC machines are described. The beginning of the thesis is based on the clamping elements of CNC machines. The paper shows the parts used for positioning and fixing the workpiece before machining. The purpose of clamping elements is explained. Jaws for clamping the workpiece are described in detail. The importance of soft jaws is described and the factors for the selection of materials when making soft jaws are listed. After that, polymer and composite materials for making clamping elements are described. Industrial polymers are listed, but the focus is on materials intended for additive manufacturing of clamping elements. The composites used for 3D printing are explained and the fibers that, in combination with polymers, form composites for the additive production of clamping elements are shown. The fourth chapter is based on additive manufacturing processes of clamping elements. Additive manufacturing is described and basic 3D printing technologies are listed. The way in which 3D printing can be used for the production of clamping elements is explained. The 3D printing procedures used for the production of clamping elements of CNC machines are described in detail. The procedures are based on the layered deposition of molten polymer and composite materials. The additive manufacturing process of simpler clamping elements and examples of application in industry are presented.