The paper addresses the role of the Court of Justice in the European integration process, as well as, more broadly, tensions between constitutionalism and new governance. I propose an account, according to which the judiciary should not be seen as standing in an aloof place in the political order, and as opposed to a—pluralistic, irrational, and anarchical—society, but rather as part of a continuum on which other governance arrangements are also placed according to their share in ‘tribunality’—the deliberativeness of their decision‐making processes and their openness to new facts.