students' self-study is mastering the full curriculum and successive development of autonomy in acquiring and deepening knowledge as trait that plays a significant role in the up-to-date higher qualification specialists' becoming and improve its competitiveness in the global labor market. The requirements to the physical education specialists' self-study organization in the process of continuous training are articulated on the acmeology basis. The author considered the educational and methodological support of students' self-study. There are motivational, cognitive, activity and personal components of acmeological competence determined being formed during students' self-study in the process of continuous physical education specialists' training on the acmeology basis.