'House of Israel' in the Bible

Whereas God does find fault with the people of that covenant, when he says: The day is coming, saith the Lord, when I will conclude a new covenant with the house of Israel and with the house of Judah. It will not be on the lines of the covenant I made with their fathers,

This is the covenant I will make with the house of Israel when that day comes, saith the Lord; I will set my laws within their mind, inscribing them upon their hearts; I will be a God to them, and they shall be a People to me;