Since the Simmenthal case of the ECJ, the national judge has been coined the ‘ordinary judge of EU law’, meaning that this judge has the primary responsibility for ensuring the effectiveness of EU law through different techniques. While there has been a large amount of research on the role of domestic courts in relation to international law, the question of whether the domestic judge could also be characterized as the ‘ordinary judge of international law’ in the sense the phrase is used regarding EU law has never been raised. This article identifies the contents of the phrase in the context of EU law in order to test it against international law. It undertakes this by transposing the different types of invocability – direct effect, invocability of consistent interpretation, invocability of damages, and invocability of exclusion – which set the national judge as a primary judge of EU law, to international law before domestic judges. While the analysis relies mainly on French case law relating to international law, comparisons are drawn, where relevant, between the case law of this jurisdiction and that of other jurisdictions in order to establish a general trend. This permits the conclusion that, while the French courts remain reluctant to ensure the effectiveness of international law through the adoption of the different techniques of invocability, other domestic judges behave as ordinary judges of international law in a way that is very similar to the way the national judges treat EU law.