 Nebenzahl previously served as chief rabbi of the Old City of Jerusalem, before handing the post over to his son Rabbi Chizkiyahu Nebenzahl.Avigdor Nebenzahl was born to Yitzhak Nebenzahl, the State Comptroller of the State of Israel from 1948-1981, Israel's Ombudsman from 1961–1981, and a senior officer in the Bank of Israel and the Postal Bank.His sister, Plia Albeck, was head of the Civil Department of the State Prosecutor's Office for 24 years.