The paper describes general terms related to the concept of quality, quality factors and quality management. All terms are clarified in the context of the construction sector. Different views on quality and quality management are described, through history to the present day. The more detailed elaboration in the paper deals with the study of the roles and obligations of direct and indirect participants in the process of quality management. The basis for elaborating is a legislative framework explaining the roles and responsibilities of all participants. In addition to the role of project participants, quality management processes - quality planning, quality assurance and quality control are described. This paper gives a detailed explanation of each of the processes involved in the project and explains how the process influences the quality required by the investor. The relationship between the individual participants and the quality management process is presented in a matrix form that clarifies the relationship between the individual participants in the construction process in relation to quality management processes. The paper analyzes the structure of the insurance and quality control program for the pump construction project with the drinking water treatment plant and the accompanying infrastructure facilities. The manner and frequency and the method of testing and quality control are clarified in all phases of the project.