Growing consensus that climate change exacerbates hunger has led to enhanced efforts to find new ways to feed the world. The prevailing approach to feeding the world in times of climate change is informed by neoliberal tenets, in line with the dominant contemporary global food regime. At the same time, there is resistance against neoliberal solutions to hunger, led primarily by food sovereignty movements. This short paper explores the role that international law plays in constructing a neoliberal narrative of hunger and a food sovereignty narrative of hunger in the context of climate change. The main conclusion is that the dominant neoliberal narrative promotes certain fundamental assumptions about hunger and climate change, and the food sovereignty narrative fails to challenge these assumptions. The language of international law limits the options food sovereignty advocates have to challenge the dominant neoliberal narrative and its underlying assumptions.