According to standards of ISO set 9000 version 2015 as before a process approach remains a basic concept in the formation of quality management systems (QMS) of an organization, but its matter changes considerably. Thereupon an organization must ensure not only a systematic definition and control of processes and a system, in particular, with a general orientation to the thought based of the assessment of risks and potentialities with the purpose of the prevention of undesirable result obtaining. Organization colleagues should be taught to the methods to solve problems, searches and possibility realizations to update processes. At the same time it is worth changing the attitude toward arising problems and consider their detection as an occurrence of new possibilities to increase effectiveness in organization activities. The methodological approaches to the consideration of risks and potentialities in the QMS and its processes are developed not enough. Therefore the approaches to the consideration of risks ion technological systems could be applied quite reasonably. The paper reports a thorough consideration of stages in the process of a risk management and stages in the cycle of the potentialities use the application of which, no doubt, will promote the effectiveness in-crease in organization activities including educational ones.