The article studies the crisis phenomena of enterprises in modern functioning conditions and the need to conduct a study of threats to economic security of business structures, as well as direction and nature of their impact in the context of modulation of production and economic processes, which is a determining vector of the actualization of this study. The article substantiates the conceptual and categorical apparatus of “economic security of enterprises” and “threats to the economic security of enterprises”. It also presents the methodology in the context of the triple PRT-model (loss, time, probability) of business structures, which includes five stages. According to the study, economic threats are grouped into 9 main types and assigned a corresponding rank. The practical toolkit for assessing potential threats to the economic security of TOV “TEKO-TRADE” is substantiated by the PRT-matrix using the expert method ratings based on five indicators: “very high”, “high”, “average”, “low”, “very low”. As a result, the main reasons for the emergence of threats to the economic security of the company under study are identified. The article shows that the proposed approach to the assessment of threats to the economic security of enterprises includes the concentration of resources in priority areas of activity to achieve the goals, and also makes it possible to prioritize and organize the implementation of the main measures to ensure economic security based on a quantitative (scoring) assessment of the level of threat and the probability of its occurrence. Based on a comprehensive analysis of the economic security project of enterprises, a network model (Activitiesonnodes, Aon) is used. The author reveals that the network model is presented in the form of a diagram and is a graphical interpretation of the network structure models on the plane. The main provisions of this article enable domestic business entities to form a predictive assessment of countering threats to economic security and develop appropriate measures to strengthen the security component in modern conditions of challenges based on the application of this network modeling methodology.