The integration of Artificial General Intelligence (AGI) with Quantum Computing (QC) will be one of the major technological breakthroughs of the current era as it combines AGI’s problems-solving abilities with the powerful computational capacity of Quantum Computing. This technological evolution has the potential to revolutionize almost every major industry, enhancing real-time decision making, fraud detection, early medical diagnosis, and more. It has the ability to address many of the current challenges which were difficult to address or were time consuming. However, this ground breaking collaboration creates several critical complexities such as algorithmic opaqueness, many ethical issues, and governance gaps that are crucial for ensuring welfare of mankind and must be addressed proactively to mitigate the risks involved with this collaboration. This chapter examines the potential and challenges of AGI and Quantum Computing integration. It emphasizes the importance of governance frameworks and leadership strategies to ensure that these technologies are deployed responsibly, transparently, and equitably. The chapter also discusses real-world applications of the collaboration and how this collaboration is already enabling innovation in healthcare, supply chain logistics, and financial systems. The chapter addresses key concerns such as global ethical alignment, risk mitigation strategies and the need for inclusive regulation through a structured lifecycle governance model. It evaluates and discusses the leadership strategies that focus on multidisciplinary collaboration, managing uncertainties, and mitigating risks in AGI-Quantum systems. In summary, this chapter provides a comprehensive study on AGI and Quantum computing integration.