Mr. Bağcı was born on 11 September 1967 in Elmadağ district of Ankara. He graduated from the Faculty of Law of Ankara University in 1988.
In 1989, he started public office as a candidate judge in Ankara. He served as a public prosecutor in Sivas-Gürün, Siirt-Pervari, Konya-Hüyük respectively. He was appointed as an inspector at the Inspection Board at the Ministry of Justice in 1999. He was promoted to the chief inspector position in 2005. He held offices as the Deputy Director General for Criminal Affairs of the Ministry of Justice, the Deputy Director General for Prisons and Detention Houses and the Deputy Undersecretary at the Ministry of Justice. He took office as a member of the Court of Cassation on 5 July 2017. He was appointed as a Justice of the Constitutional Court by the President of the Republic on 2 April 2020 and took office on 6 April 2020.
He received his master’s degree in international law on human rights at the University of Exeter in the United Kingdom.
He was elected as the Vice-President of the Constitutional Court by the Plenary of the Court on 16 April 2024.
Mr. Basri Bağcı, who is proficient in English, is married with three children.