The final work deals with the theme of multi-axis or 5-axis machining, and the comparison of 5-axis and 4-axis milling on two examples. The introductory chapter outlines the reasons for the development of multi-axis machining and explains how multi-axis machines differ from 3-axis machines. Then, there is a brief history of numerical control and numerically controlled machines, both in the world and in Croatia. The third chapter describes the features and characteristics of modern machining centers. More detailed explanations are given for the multi-axis turning and milling machining centers, and the differences in their designs are mentioned. The basic parts of machines, features and types of drives, guides and stands are then explained. Chapter 5 describes the role of the CAD/CAM system in the production process, as well as the task of the post processors. The sixth chapter outlines the steps in the programming of 4-axis and 5-axis machining processes on two examples. The machining simulations of the given examples are shown in the SolidCAM module Solid Verify. 5-axis milling is also presented in the module Machine Simulation, and the importance of that module is explained. The seventh chapter explains the differences in the machining process on machines with different number of axis, and the advantages of 5-axis machining in relation to 3-axis and 4-axis machining.