The modern theory of quality management is based on the position that activities aimed at improving quality should be carried out in the process of production/service. It is possible to determine the quality of products/services by many factors, both objective and subjective. To prevent the impact of various factors on quality, a quality management system is necessary. Each country has its own concept of quality management, which reflects the essence of Total Quality Management (TQM) methodology to solve quality improvement problems. Quality models to a large extent coincide with each other, are mutually complementary and differ only in the completeness and depth of coverage of the work processes of the organization. The main purpose of our article is a comprehensive study of theoretical and practical issues of professional training of students on the basis of global quality methodology, its step-by-step description, identifying the practical value in use for both technical and humanitarian specialties.