This article – and the special issue it introduces – contributes to the expanding scholarly literature on the global governance of education, with a particular focus on its future-oriented and ‘promissory’ dimension. Inspired by Beckert’s (2020) concept of ‘promissory’ legitimacy, a key contribution of this special issue is to critically analyse past and contemporary promissory narratives of the major international organisations and other global actors concerning the future of education. We focus on three overarching themes that emerge from the contributions to this special issue: Problems of legitimacy in the global governance of education; a shift towards multistakeholderism, which we explore through the lens of ‘the neuro-affective turn’; the use of crisis narratives as an instrument of global governance, and geopolitical shifts and the decline of the liberal world order.