'City of David' in the Bible

Nevertheless David took the hold of Zion, which is in the city of David.

And David dwelt in the tower and called it the city of David. And David built round about it from Mello inward.

And so David would not bring the Ark of the LORD with him into the city of David. But carried it into the house of Obededom, a Gittite.

And when it was told king David how that the LORD had blessed the house of Obededom and all that pertained unto him, because of the Ark of God, he went and brought the Ark of God from the house of Obededom unto the city of David with gladness.

And as the ark of the LORD came into the city of David, Michal Saul's daughter looked through a window and saw King David spring and dance before the LORD, and therefore despised him in her heart.