The article examines the relationship between developing tourist center infrastructure and traffic flows on routes in the Altai region. Based on a spatial approach and correlation-regression analysis, the authors formalized the structure of the tourist network as a unity of linear (routes) and nodal (tourist and recreational centers) elements. The patterns of emergence and manifestation of the relationship between the tourist infrastructure development (collective accommodation facilities and catering facilities) and the dynamics of tourist flows in the system of tourist route networks in the Altai region have been identified. The considered tourist centers in the region, represented as settlements, are presented as attractors (centers of attraction) that create an infrastructure offer to ensure a comfortable stay for tourists during their travels. The developed integral indicator “infrastructure offer” (IO) combines collective accommodation facilities (CAF), public catering facilities (PCF), and tourist routes as a type of leisure (L) with a range of services and a variety of travel types. The dynamics of the IO and tourist flow for 2021–2025 have been analyzed. The identified dynamics of tourist flow have demonstrated a sustainable increase in its volume over the long term. A direct, close correlation between the of infrastructure supply growth and the tourist flow increase has been identified. It has been substantiated that expanding and complicating the route network is a promising direction for enhancing tourist attractiveness of the region. The research results can be used in planning tourist infrastructure and organizing routes. An analysis of the economic, social, environmental, and political significance of these complex processes, in terms of their development and positive dynamics, has demonstrated the resilience of the tourism sector components as a long-term resource in long-term planning and forecasting of the economic region development. The examined network of tourist routes in the Altai region, representing a complex phenomenon, requires further systematization, monitoring of the negative effects of mass tourism, and prompt control by the region authorities to maintain the tourist traffic flows to the region as the main resource for its economy development.