Introduction: Modern complex technical systems are often critical. Criticality is due to the consequences of disruption of the functioning of such systems, and their failure to fulfill the required list of functions and tasks. The process of control and management of such systems is carried out using communication systems and networks that become critical for them. There is a need to ensure the stable functioning of the complex technical systems themselves, their control and monitoring systems, communication systems and networks. The paper proposes a method for ensuring the functional stability of a communication system, the basis of which is the process of identifying and eliminating conflicts in it due to the difference between the profile of functioning and the profile of the process of functioning of the system. The proposed model of the process of functioning of the communication system allows, based on changes in the intensity of the impact on the system of destabilizing factors, the identification of conflicts and their elimination, to determine the probability of ensuring the functional stability of the system. The purpose of the study: to develop a methodology for ensuring the functional stability of a communication system under the influence of destabilizing factors and the emergence of conflicts, a model of the process of the system's functioning, which makes it possible to determine the probability of the system being in a functionally stable state. Methods of graph theory and matrix theory, the theory of Markov processes. Results: an approach is proposed for assessing the functional stability of a communication system under the influence of destabilizing factors, a technique has been developed to ensure the functional stability of a communication system. Practical significance: the results of the study can be used in the design and construction of complex technical systems, decision support systems, control, communication and management.