Actual level of unmanned aerial vehicles development allows us to consider them as an effective tool for solving a variety of civil and military tasks (primarily reconnaissance and strike). At the same time, one of the most important problems associated with the combat use of unmanned aerial vehicles remains to ensure their high survivability in organized counteraction conditions, the source of which can be both ground-based air defense and fighter aircraft (manned or unmanned). For this reason, the study and optimization of unmanned aerial vehicle evasion maneuvers from an enemy air attack remains relevant. In the article on the basis of game approach the algorithm of the unmanned aerial vehicle trajectory guaranteeing management providing its evasion from attack of the air opponent is offered. The study of unmanned aerial vehicle maneuverability tactically significant indicators influence on the effectiveness of the evasion maneuver. The results of simulation, demonstrated the influence of unmanned aerial vehicle maneuvering capabilities on achievement a positional advantage in order to solve the problem of evasion from enemy air attack, are presented. A series of computational experiments, whose results allow to assert that the use of the developed algorithm to guarantee control regardless of the relative initial state target UAV (Unmanned Aerial Vehicle) and UAV-interceptor with the comparability of their maneuvering capabilities in 73 % of cases provides the positional advantage of the target UAV, the UAV position relative to the interceptor makes inefficient use of the latest posted guided missiles, are performed. Note that the increase in the values of tactical indicators that reflect the maneuverability of the attacked UAV compared to the enemy, leads to the fact that in all cases, regardless of the initial position of the attacked UAV relative to the UAV-interceptor, it is ensured that it is brought beyond the zone of possible launches of guided missiles.