'House of Israel' in the Bible

Therefore let all the house of Israel recognize beyond all doubt that God has made Him both Lord and Christ (Messiah, Anointed)—this Jesus whom you crucified.”

let it be known and clearly understood by all of you, and by all the people of Israel, that in the name of Jesus Christ the Nazarene, whom you [demanded be] crucified [by the Romans and], whom God raised from the dead—in this name [that is, by the authority and power of Jesus] this man stands here before you in good health.

But God turned away [from them] and handed them over to serve the host of heaven. As it is written and forever remains written in the book of the prophets, ‘It was not [really] to Me that you offered victims and sacrifices for forty years in the wilderness, was it, O house of Israel?