A comprehensive model for predicting the stress-strain state of hanging gas pipelines with changes in external load is proposed, which allows the detecting of extreme conditions of gas pipeline operation and avoiding the negative consequences of overloading. The development of the forecasting model was carried out based on a systemic approach and is presented in the form of a "gas pipeline" and a "rope suspension", between which there are connections that reflect the essence of the force-deformation process. The peculiarity of the deformation processes of the rope suspension, which is determined by the relative load, is noted. The problem of determining the position of static equilibrium of the "pipeline – rope suspension" system based on the principle of minimum potential energy is solved. For the position of static equilibrium, the condition of equality of movements of the points of attachment of the rope suspension to the generating gas pipeline is formed, which is used as a criterion for finding unknown force factors. The model is built according to the principle of "Finding a solution", when within the given factor space of force values in the retaining ropes, their optimal combination is selected, which satisfies the established criterion. Based on the result of mathematical modeling, a predictive assessment of the redistribution of forces in the rope system was made depending on the change in the load q acting on the gas pipeline. Thus, with an increase in the load, there is an increase in effort in the extreme ropes at somewhat higher rates than for the average. The redistribution of forces in rope suspensions is within 10 %