This thesis undertakes an analysis of a selection of current national and international cooperation frameworks for AI governance, including measures taken to address generative AI. On an international level, it focuses on the OECD Recommendation on Artificial Intelligence; on a national level, it focuses on the EU AI Act. The research illustrates that the OECD Recommendation is and will be a crucial framework for international-level AI governance. At the same time, while the EU AI Act plays an important role now, it’s future success will depend on its enforcement, resilience, and the EU regulatory cooperation efforts. The analysis also suggests that generative AI has reignited the discourse on responsible AI, prompted special regulatory measures, and directed the policymakers’ attention towards a focus on the risks it poses. Additionally, the research offers ten recommendations for future efforts on international cooperation on AI governance.