Abstract: The researcdh object in this study involves the  multi-level satellite infocommunication networks. The dynamic influence of various factors upon the characteristics of communication lines in different elements of the network causes changes in the distribution of traffic within the studied network, which in turn can lead to a decline in service quality markers, one of which is the average delay in the delivery of information. The article presents the results of the development of the traffic optimization model in the satellite hierarchical communication network based upon the criterion of minimum mean delay time for the purpose of improving the quality of information flows in the studied network. The key method used to develop the optimization model is the node method  for the  tensor analysis of networks, which fits the requirements of accounting for the interaction of the network topology and the processes of servicing information flows, and the used set of initial data. The scientific novelty involves the use of the nodal tensor analysis method in order to optimize the traffic distribution in the hierarchical infocommunication satellite network using the criterion of minimum mean delay time by using an objective function that takes into account the average delay time in each system of the information transmission route and the constraints determined by the tensor equation of behavior of the initial network .