'City of David' in the Bible

And the fountain-gate repaired Shallun the son of Colhozeh, the chief of the district 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, and over against them, they went up by the stairs of the city of David, at the ascent of the wall, above the house of David, even to the water-gate eastward.