The name given, (Genesis 32:28) to Jacob after his wrestling with the angel, (Hosea 12:4) at Peniel. Gesenius interprets Israel "soldier of God."
It became the national name of the twelve tribes collectively. They are so called in (Exodus 3:16) and afterward.
It is used in a narrower sense, excluding Judah, in (1 Samuel 11:8; 2 Samuel 20:1; 1 Kings 12:16) Thenceforth it was assumed and accepted as the name of the northern kingdom.
After the Babylonian captivity, the returned exiles resumed the name Israel as the designation of their nation. The name Israel is also used to denote lay-men, as distinguished from priests, Levites and other ministers. (Ezra 6:16; 9:1; 10:25; Nehemiah 11:3) etc.