This paper deals with theoretical and practical representation of quality management in the management of the contemporary business subjects. The basic points of this paper are contained in the term quality, its functions in defining the success of the management of the contemporary business subjects, quality management and the implementation of the quality management system. Quality management is a formalized system of management which is used to recognize and manage those activities that will lead to the final goal – satisfaction of the consumer with minimal overall cost and constant advancement. In the business processes, the system uses the principle of continuous improvement. The goal of this paper is to introduce the problems of quality management, its importance in the modern age, the ways in which quality can be managed and what it can provide for one business subject in the competitive environment. Using the example of the business subject Certifikat d.o.o. from Vukovar, the implementation of the quality management system has been shown. Using that, the procedure of establishing such a system based on the main international quality management norm – ISO 9001, with other necessary norms, as appropriate given the activities of the business – has been explained. Establishing the quality management system by the requirements of the international norm is a formalized process which must obey all the directives form the adopted norm, which are defined through the example of the chosen business. The empirical part of the paper shows in detail the principles and processes of the quality management system, the responsibilities in the system, the management of the resources of the method, analysis and improvement. The requirements are clearly defined and substantiated by schematic and graphic representations for easier understanding of the course of the process. The results of the implementations of the quality management system through the advantages which it brings round up the understanding of such a system in the contemporary management conditions.