Nowadays the problem with the employment of the graduates of the higher education institutes is urgent in our society. The presence of degree does not guarantee demand in the labor market. A successful competent professional has the greatest chance of getting a job. Many leading countries maintain register of the graduates, which enables society to respond to changes in the labor market. Ukraine still has no single effective regulation mechanism of training and employment of the young professionals and database of the graduates that would make it possible to trace the problems and quickly respond to them. The authors have monitored employment of the graduates on the example of Physics specialty at Sumy State Pedagogical University named after A. S. Makarenko in the period of time since the first graduation of 2006 to 2014. The results have been analyzed. The study has found that the majority of graduates (about 70 %) could use received education in their professional activities, while for others it was just a stepping stone in finding their place in the labor market. All graduates are employed. Although not all graduates were able to realize themselves as physics (there are objective reasons related to the situation in the country, with a low demand for researchers (physicists), with little funding, including education and science in general), but they were in addition to knowledge, skills, public education, and even a new look at education, erudition, individual creativity, desire for independent search for knowledge and the need for their improvement, high culture. The years of study formed an inner need for self-learning, the requirement of time and today is the condition for the realization of personal potential. Man’s ability to occur at a level adequate its claims, it depends on the involvement of an independent process of development of new knowledge. Thus, it can be argued that one of the factors improving the quality of education is its relationship to the labor market and its fast response to changes that can ensure the implementation of a systematic analysis of monitoring of employment of the graduates. It can be asserted that raising quality of education and assisting graduate in his self-realization as a professional require close interaction between education and the labor market.