Neofytou served as vice-president of the Youth of Democratic Rally (NEDISY). In 1991, at the age of 30, he was elected Mayor of
Polis Chrysochou in the district of Paphos. In
1996, shortly before the end of his term as mayor, he was elected to the
House of Representatives for the district of Paphos. In 1999, Neofytou was appointed Minister of Transport and Works in the government of
Glafcos Clerides, a position he held until 2003. In 2003, he was elected as the Deputy President of Democratic Rally. In the parliamentary elections of
2006,
2011 and
2016, Neofytou was re-elected as a member of the House of Representatives for the Nicosia District. As a Member of Parliament, Neofytou has served as Chairman of the Parliamentary Committee on Finance and Budget, Chairman of the Parliamentary Committee on Foreign and European Affairs, leader of the delegation of the House to the Conference of the Presidents of the Foreign Affairs Committees of the European Union, leader of the delegation of the House to the Conference of European Affairs Committee of the Parliaments of the European Union, leader of the delegation of the House to the Inter-Parliamentary Union and as member of the Select Committee. Neofytou is currently the leader of the delegation of the House to the Inter-Parliamentary Union and to the Parliamentary Assembly of the Union for the Mediterranean. He is also the leader of the delegation of the House to the Inter-Parliamentary Conference on Stability, Economic Coordination and Governance in the European Union. In May 2013, Averof Neofytou was elected President of DISY, succeeding
President Nicos Anastasiades. Neofytou has served as a member of the Union of Municipalities of Cyprus, Honorary Secretary of the Paphos Chamber of Commerce and Industry, a member of the Board of the Cyprus Football Association and President of the Cyprus Anti-Cancer Society in Polis Chrysochous. ==President of Democratic Rally (2013–2023)==