'House of Israel' in the Bible

For in finding fault with them he says, "Behold, days are coming, says the Lord, when I will complete a new covenant with the house of Israel and with the house of Judah,

For this [is] the covenant that I will decree with the house of Israel after those days, says the Lord: I am putting my laws in their minds and I will write them on their hearts, and I will be {their} God and they will be {my} people.