The work is devoted to solving the scientific and practical task of modeling the elimination of the consequences of military operations and man-made disasters on the territory of Ukraine.Military actions and emergency situations are situations that lead to harmful social, economic and environmental consequences. In the crisis period, rescue measures are carried out, aimed at localizing the consequences of the manifestation of the sources of threat and increasing the survivability of regional components in the affected areas. Territorial distribution, heterogeneity, multi-connectivity and dynamism of impactful impacts and protective measures significantly complicate the processes of managing natural and man-made safety. The purpose of the article is to formulate the formulation of the problem of modeling the liquidation of the consequences of military operations and man-made disasters on the territory of Ukraine, using the principles of a systemic approach. The classification of sources of emergency situations based on the causes of their occurrence, different types of affected objects depending on the nature of behavior in extreme conditions, different types of protection resources that implement the necessary protective measures is given. To find the optimal plan for the use of forces and means of the man-made security system at the stage of liquidation of the consequences of military disasters and man-made disasters, a program-target approach to planning using the Pareto function of the system was used. Direct and inverse problems of finding the optimal plan are considered. The selection of objects for a direct task is carried out in order according to their priority. When solving the inverse problem, objects are selected until a given level of system effect is reached, which accumulates during the selection process. In crisis situations caused by dangerous events, it is important to take effective rescue measures to localize and reduce the consequences of accidental and threatening situations. The main goal of such measures is not only to increase the survivability of the regions in the affected areas, but also to ensure the rapid restoration of the normal functioning of society after the crisis.