The article deals with the issues of improving the cost management mechanisms in the supply chains of the construction industry. The activities of foreign and domestic scientists, reflecting the results of various studies, and some related concepts, as well as the author's definitions. For the activities of a large construction company, a multifactorial model was chosen based on the factors influencing the formation of costs in the supply chains of the construction industry. Based on the indicators for 2014-2021, a multifactorial model of non-linear relationships was developed, and on the basis of this model, forecast indicators for the formation of costs in supply chains for the medium term were determined. In the course of the study, a complex organizational and economic mechanism for managing the logistics business processes of a construction cluster was developed, which expands the possibilities for improving the efficiency of the process of managing the movement of material and information flows in logistics chains in the activities of regional construction clusters.