The main goal of study is extension of information about combining psychological, athlete's physical and sports fitness qualification in playing sports in training process while studying in university. This study took place on 24 athletes, boys 18 - 21 years of different skills (the candidate for the master of sports - 9, first-class sportsman - 12, second-class sportsman - 3). It is proved that the effectiveness of sports and gaming activities in team sports will then be productive when there be a switch in the relationship between leading and famous players from the "subject - object" to "subject -subjective ". It was determined that the main precondition for the effectiveness of competitive activity is before head identification and formation of leadership behavior in teams players of team sports, where leadership is behavioral interaction process for individuals or teams to achieve established goals.