Abstract. Introduction. The problem of sustainable food supply is connected with the optimisation of the distribution of food flows and determined by the quantity of food in terms of per capita consumption, energy value and availability of nutrients. The purpose of the article is to develop a logistics model of sustainable food supply in the region and test it on the example of Saratov region of Russia. Methods. In the process of economic-mathematical modelling, the authors used econometric and logistics methods. Results. The article describes the authors' approach to building local food systems. A two-level model of demand for food products was substantiated. The conducted calculations of the indicators of sustainability of the local food systems of Saratov region for the most important types of food products show that three local food systems centred in towns of Kalininsk, Novouzensk and Ershov are fully food self-sufficient. The local food systems of the towns of Volsk, Balashov and Balakovo have difficulties in the matters of self-sufficiency in meat products; and the local food systems of the city of Saratov and the town of Engels have to import meat and milk in order to have quality and sustainable provision of the population with such products. Conclusions. The use of the logistics approach allows us to develop a universal algorithm for the assessment of the overall sustainability of food supply of the region, consider the impact of transportation costs on food consumption by the population, substantiate the rational logistics and delivery routes of agricultural production for its further processing, which will increase the overall sustainability of food supply in a particular region.