Cihan Baba was born in 1976 in Alanya. After completing his education at the Faculty of Economics and Administrative Sciences Department of International Relations at Bilkent University, he started to work at Tümerdem Group in Istanbul. He was responsible for the import-export department.
After completing his military service, he received his Master's Degree in Business Administration at Istanbul University. At the same time he co-ordinated the international relations at Comart International Fayre, in Istanbul.
In the local elections held in 2004, he was elected as a member of the council fort he Municipality of Alanya. His duties included the Planning and Budget Commission, as a member, and Alanya Municipality Agriculture Commission, as the president, until the local elections held in March 2009.
In 2004, he served as Alanya General Co-ordinator at Alanya Port Company.
He founded “B Education Services Tourism and Trade Company” with Burcu Haboğlu Baba in 2006, and has acquired ownership of Bahçeşehir College Alanya in 2007.
He is currently the Chairman of the Board of Directors of B Education Services Tourism and Trade Company and is the representative of Bilkent Alumni Association in Alanya, a Board Member of All Private Education Institutions Association (TÖDER), a Board Member of Alanya Chamber of Commerce (ALTSO), and holds the membership of Alanya Industrialists and Businessmen Association (ALSİAD).
Cihan Baba has a daughter named Cemre and a son named Can.