The problems of preparing future teachers for the management of the quality of the educational process is relevant today, since the effectiveness and high quality of the educational process is one of the main objectives of education. In connection with the urgency of the problem of preparing future teachers, factors that contribute to the effective preparation of the future teacher for the management of the quality of the educational process are identified: future teacher's conscious understanding of the role of quality management of educational process; availability of the purpose of training of future teacher for quality management of educational process and tracing it at all stages of preparation; desire of future teacher to perform self-preparation and self-development; selection of the training program taking into account specific features and characteristics of future teacher; an opportunity to staticize and apply by future teacher knowledges gained during training; a skills on work with information technologies; performance systematic independent and objective external control of success; application of modern and productive methods, forms and means of training; application of the "assessment" method; mentoring; coaching. This problem is considered in the relationship between the quality management of the educational process and management. It is formulated definition that reveals the essence of quality management of the educational process on the basis of the analysis of the following concepts: quality, pedagogical management, quality of education, quality of the educational process, the subject, object and purpose of quality management of the educational process are designated. (C) 2018 Published by Future Academy