This keynote address delivered to a Conference on Evidence in International Criminal Tribunals at University College Dublin in November 2011 considers how differently evidentiary issues are dealt with by international criminal tribunals from domestic tribunals. It is argued that, although there are jurisdictional differences affecting what international prosecutors have to prove before international criminal tribunals, many of the problems and difficulties that beset international tribunals are also to be found in domestic tribunals and both types of tribunal have similar duties and issues to grapple with.