'House of Israel' in the Bible

For in rebuking them he saith, "Behold the days will come, saith the Lord, and I will finish upon the house of Israel, and upon the house of Judah, a new testament;

For this is the testament that I will make with the house of Israel: After those days, saith the Lord, I will put my laws in their minds, and in their hearts, I will write them, and I will be their God, and they shall be my people.