The increasing complexity of global problems such as climate change, terrorism, pandemics, economic instability, migration crises, cyber insecurity, and transnational conflicts has intensified the need for effective international administration and global governance mechanisms. The contemporary international system operates in an environment of profound interdependence, where the actions of one state can have far-reaching consequences on others, and where problems routinely transcend national boundaries. This research examined the role of international institutions and international law in addressing contemporary global challenges. The study specifically investigated how international institutions facilitate global administration, evaluates the significance of international law in global governance, and identifies the challenges confronting international institutions in tackling global problems. The research adopted Liberal Institutionalism as its primary theoretical framework, while also engaging with Global Governance Theory for analytical breadth and balance. The paper utilized a qualitative methodology relying on secondary data from books, peer-reviewed journal articles, treaties, institutional reports, and scholarly publications. Findings revealed that international institutions such as the United Nations (UN), World Health Organization (WHO), International Monetary Fund (IMF), World Bank, and World Trade Organization (WTO) play critical roles in promoting international cooperation, peace, security, economic stability and humanitarian assistance. It was further revealed that international law provides legal legitimacy and regulatory frameworks for international conduct, although enforcement limitations, power politics, funding constraints, and state sovereignty significantly undermine institutional effectiveness. It was concluded that despite existing challenges, international institutions and international law remain indispensable instruments for global governance and international administration in the contemporary international system. Strengthening institutional frameworks, improving enforcement mechanisms, and broadening participation in global governance processes are recommended as pathways toward a more effective and equitable international order.