In this paper I shed new light on contemporary developments in global health governance, policymaking, and knowledge production. Specifically, by investigating the historical roots and emergence of global health emergency governance. Drawing on the Foucauldian notion of “problematisation” and on Science and Technology Studies of disaster, I trace, examine, and elucidate three main axes through which, I argue, health emergencies became a problem of global governance. I show, first, the formation of emergency management as a distinct professional field. Second, the migration of emergency management into global health governance and its proliferation within it. And third, the move from global health emergency management to the global governance of health emergencies. Overall, I suggest the rise of global health emergency governance provides crucial context for understanding social, political, and epistemic tensions and controversies in health emergencies such as COVID-19. Through the analysis, I identify a particular rationale that is rooted in emergency management and had become embedded in global health emergency governance. A rationale that involves “temporal compression” and “structural plasticity.” I discuss possible implications of this rationale for global health governance, policy, and knowledge.