The international system has changed rapidly in the last thirty years and Science, Technology and Innovation (STI) has become a new critical factor of the world order of the 21st century. The interaction between STI and international affairs has increased, as well as its social and academic interest; however, there is still a lack of new theoretical and methodological approaches that examine this global rising phenomenon. This article is predominantly epistemological and is about how interactions between STI and international relations can be methodologically examined using systems models. This article raises the need for systems science approaches to explaining complex problems in international relations. In this sense, systems science and specifically systemism, offers great potential to study complex issues within a complex social system like the international order. Therefore, the main objective of this research is to develop an original systems framework that provides a comprehensive tool for studying complex topics like STI in the world system. The result is the creation of a Systems Architecture Model that examines the interaction between STI and international affairs from a systemist perspective.