An international university is funded by the governments of many countries and thereby is controlled by the officials from the government of different countries. These universities are often formed by the regional and international organizations.
The distinction between intergovernmental and international university is similar to the one between intergovernmental organization and international organization. International is a rather open-ended term, while intergovernmental specifically refers to the fact that the participating parties or members are sovereign states and intergovernmental organizations. As a result, only intergovernmental universities are subjects of international law.