'King Over Israel' in the Bible

So all the elders of Israel came to the king to Hebron; and king David made a covenant with them in Hebron before the LORD; and they anointed David king over Israel.

And David knew that the LORD had established him king over Israel, and that he had exalted his kingdom for his people Israel's sake.

When the Philistines heard that they had anointed David king over Israel, all the Philistines went up to seek David; and David heard of it, and went down to the stronghold.

Nathan said to David, "You are the man. This is what the LORD, the God of Israel, says: 'I anointed you king over Israel, and I delivered you out of the hand of Saul.

David said, "What have I to do with you, you sons of Zeruiah, that you should this day be adversaries to me? Shall there any man be put to death this day in Israel? For do not I know that I am this day king over Israel?"