The article addresses the question of how to study global constitutional law by suggesting a material methodology. Drawing from previous studies of the notion of the material constitution, both from materialist and institutionalist types (Marx, Mortati, Poulantzas), the article proposes to look at the development of global constitutional law, in its many instantiations, in terms of its relation with the state. Accounts of the autonomy of global constitutional law are requalified in terms of relative autonomy. More specifically, global constitutional law is conceived as a legal construction functional to the transformation of the contemporary state. From the perspective of the material study of constitutional law, the state is still deemed to be the main unit of analysis, but, at the same time, state-centred accounts based on an exceptionalist understanding of sovereignty are rejected as reductive and, at times, inaccurate.