Bengi was born in Diyarbakır on 11 September 1971 and graduated from the Faculty of Islam and Arabic Language Studies of al-Azhar University in 1997. 

Ali Haydar Bengi, an opinion leader from Diyarbakır Province who was loved by all for his good nature and life record, stressed in his recent scholarly studies and lectures correct understanding of religion, achieving unity among Muslims, and liberating al-Quds. He headed and worked for the Association of Rights, Freedoms, Education, Culture and Solidarity for Bright Tomorrows (AYDER).

Bengi had four children named Mehanur, Semanur, Senanur and Muhammed Mustafa.

In the application form to take part in the flotilla that would take relief materials to Gaza that is under embargo for over three years, Bengi wrote translation and communication as subject he could offer help with. He was martyred in the Israeli attack on the Mavi Marmara boat that was carrying humanitarian aid to Gaza on 31 May 2010.