1 Kings 4:2 - Albert Barnes' Notes on the Bible

Azariah, the son of Zadok, the priest - “The priest” here belongs to Azariah, not to Zadok. The term used כהן kôhên means sometimes a priest, sometimes a civil officer, with perhaps a semi-priestly character. (See 2 Samuel 8:18 note.) In this place it has the definite article prefixed, and can only mean “the high priest.” Azariah, called here the “son,” but really the “grandson,” of Zadok, seems to have succeeded him in the priesthood 1 Chronicles 6:10. His position as high priest at the time when this list was made out gives Azariah the foremost place in it.