'City of David' in the Bible

And the Fountain Gate was repaired by Shallum the son of Colhozeh, the ruler of part of Mizpah. He built it and covered it, and set up its doors, its locks, and its bars, and the wall of the Pool of Shelah by the King's Garden, and to the stairs that go down from the City of David.

And at the Fountain Gate, across from them, they went up by the stairs of the city of David, at the going up of the wall, above the house of David, even to the Water Gate eastward.