It all started in 2006 with the initiative of students of the faculty of world politics. The first session was hosted by the faculty and held on November 25-27 of the same year with the support of the UNA-Russia and MGIMO students.

The second session of the Model UN of the faculty of world politics was held on March 15-17, 2008.

In 2009 it was decided to hold a MUN for the whole university. The Model comprised five committees. It was the first time ECOSOC session was conducted in the English language at MSU. After the conference it was decided to grant our MUN an official international name: Moscow State University Model United Nations (MSUMUN). That year a permanent Secretariat was established at the faculty of world politics to prepare the Model UN.

Since 2010, the following bodies have been functioning on a permanent basis within the MSUMUN: the Security Council (SC), the Human Rights Council (HRC) and the Economic and Social Council (ECOSOC in the English language).

From 2014 to 2017 in the framework of Moscow State University work of the IMO (International Maritime organization), the Security Council in Spanish (Consejo de Seguridad), and Security Council in Chinese (安全理事会) was simulated.

In 2016 a Journalism committee was established, giving an impetus to the development of news agencies in Russian MUN movement. Since then, four news agencies (Al Jazeera, BBC, CNN, Russia Today) have been covering the MSUMUN work.

In 2018 three new committees were opened: the First Committee of the General Assembly, the International Court of Justice in English and the Security Council in Arabic (مجلس الأمن). Thus, the MSUMUN has become the third Model UN in the world to hold sessions in all six UN official languages. Moreover, in 2018 the number of participants exceeded 400 people.

In 2019, MSUMUN was again held in all six official languages of the UN and was attended by participants from 24 countries. They had an opportunity to listen to the speeches of the experts of the committees and could attend the lecture by Alexei Borisov, First Deputy Chairman of the UNA-Russia and Vice-President of the World Federation of UN Associations.

Over the following years, MSU Model UN maintained a high level of set standards. In 2021, despite the restrictions caused by the Covid-19 pandemic, the Model took place in a hybrid part-time and part-time format and attracted several hundred participants. Simulating meetings in all six official UN languages, delegates actively worked on the most current agendas.