The main purpose of this study is to model a logistics management system that ensures the sustainable development of the agro-industrial complex in one of its three major areas. The focus of the study is the sustainable development of the agro-industrial complex within a specific industry. The research methodology involves the use of modern methods for creating control system models, based on graphical representation of sustainable development. The model resulting from this study serves as the foundation for the article and includes the necessary elements for planning the sustainable development of the agro-industrial complex. As a result, a strategic logistics management model was developed to ensure the sustainable development of the agro-industrial complex within a single industry. In addition, tactical and operational logistics management models were proposed to ensure the sustainable development of the agro-industrial complex in a particular industry. The study is limited by its focus on only one of the three major areas of the agro-industrial complex. Future research should explore the sustainable development of all other areas within the agro-industrial complex.