This book explores the global governance of artificial intelligence (AI) against the background of unprecedented technological advances in recent years. It offers the first comprehensive examination of the role of the United Nations in global AI governance. Drawing upon recent governance initiatives at the United Nations such as the Global Digital Compact, it advances a novel constructive approach to the global governance of AI. Moving past common analogies in policy and academic circles, the book further explores the ways in which the global governance of outer space and data offer fresh insights to the ongoing rush to build a global framework of AI governance. The book will be of interest to researchers in the fields of global governance, international law, AI governance and technology law. It will also be a vital reference to policymakers directly involved in the ongoing efforts of building global AI governance.