Annotation: Anti-terrorist operation in the east of Ukraine makes it necessary to improve the forms and methods of armed struggle. This is due to use against the units of the Armed Forces of Ukraine as regular military formations of the enemy, as well as formations with an atypical organizational-staff structure. Therefore, in the mentioned article, the development of a method for selecting rational ways of performing tasks by units of the brigade tactical group in the stabilization actions on the basis of the theory of games was conducted. In developing the methodology of rational methods for performing tasks by units of the brigade tactical group in the stabilization actions, the apparatus of the theory of games was adopted as the basis for it, also it is most suitable for describing conflict situations. At the same time, the essence of the methodology is to take into account, when forming the optimal strategy of using units of the brigade tactical group, one-to-one awareness and the ability to predict the actions of the enemy. To predict the actions of the enemy during the stabilization actions, the method of dynamic forecasting is used, which allows to carry out both short-term and short-term forecasting. This methodology is unified and universal, it allows to make calculations for a separate unit of the brigade tactical group and for calculations of the brigade tactical group as a whole during the stabilization actions. This method allows to increase the efficiency of using of units of the brigade tactical group.