The most important transformations of the globalization concern not only the economic sphere, but also the institutional one. On the one hand, national institutions have been weakened by international processes. On the other hand, transnational institutions have emerged. As far as the parliamentary dimension is concerned, transnational forms of Parliaments have developed over the years. The history of transnational parliamentarism began with the foundation in 1889 of the Inter-Parliamentary Union. In 1949 the Consultative Assembly of the Council of Europe was created, which was at the origins of the European Convention on Human Rights, signed on November 4, 1950. From the following decade, a very large network of transnational parliamentary institutions was formed (among others: Common Assembly of the ECSC in 1951, Assembly of the Western European Union in 1954, Assembly of the NATO in 1955, Latin American Parliament in 1964, Parliamentary Assembly of the Francophonie in 1967, Arab Inter-Parliamentary Union in 1974, Joint Parliamentary Commission of Mercosur in 1991). Only one, the European Parliament, acts today as legislator; the others are limited to debating and sending recommendations to the executives of the member states. It would certainly be important for these transnational assemblies to be able to participate in a more influential way in the events which concern the citizens they represent; this essentially entails the right to exercise decision-making powers and not only advisory powers. The session will analyse the main characteristics of transnational parliamentarism in its historical development and its perspectives. Special attention will be devoted to the European Parliament as a model for transnational or multinational Parliaments.