To get the full flavor of this truth, we ought to see the entire New Testament witness. Look at these verses one by one, remembering the normal meaning that any Jew or instructed Gentile would attach to the word "house" and let the cumulative force of these verses overwhelm you:
Matthew 10:12-14 "And when you go into a household, greet it. If the household is worthy, let your peace come upon it. But if it is not worthy, let your peace return to you. And whoever will not receive you nor hear your words, when you depart from that house or city, shake off the dust from your feet."
Luke 19:9 "And Jesus said to him, 'Today salvation has come to this house, because he also is a son of Abraham'"
John 4:53 "So the father knew that it was at the same hour in which Jesus said to him, 'Your son lives.' And he himself believed, and his whole household."
Acts 2:38-39 "Then Peter said to them, 'Repent, and let every one of you be baptized in the name of Jesus Christ for the remission of sins; and you shall receive the gift of the Holy Spirit. For the promise is to you and to your children, and to all who are afar off, as many as the Lord our God will call.'"
Acts 10:2 "[Cornelius was] a devout man and one who feared God with all his household, who gave alms generously to the people, and prayed to God always."
Acts 11:14-18 "'[Peter] will tell you words by which you and all your household will be saved.' And as I began to speak, the Holy Spirit fell upon them, as upon us at the beginning. Then I remembered the word of the Lord, how He said, 'John indeed baptized with water, but you shall be baptized with the Holy Spirit.' If therefore God gave them the same gift as
He gave us when we believed on the Lord Jesus Christ, who was I that I could withstand God? When they heard these things they became silent; and they glorified God, saying, 'Then God has also granted to the Gentiles repentance to life.'"
Acts 16:14-15 "Now a certain woman named Lydia heard us. She was a seller of purple from the city of Thyatira, who worshiped God. The Lord opened her heart to heed the things spoken by Paul. And when she and her household were baptized, she begged us, saying, 'If you have judged me to be faithful to the Lord, come to my house and stay.' So she persuaded us."
Acts 16:31-34 "So they said, 'Believe on the Lord Jesus Christ, and you will be saved, you and your household.' Then they spoke the word of the Lord to him and to all who were in his house. And he took them the same hour of the night and washed their stripes. And immediately he and all his family were baptized. Now when he had brought them into his house, he set food before them; and he rejoiced, having believed in God with all his household."
Acts 18:8 "Then Crispus, the ruler of the synagogue, believed on the Lord with all his household. And many of the Corinthians, hearing, believed and were baptized." (
Note well that Paul refers back to this event in 1 Corinthians 1:14 as the baptism of "Crispus." It is clear that in Paul's mind, to baptize "Crispus" is necessarily to baptize the members of his household under his headship as well.)
1 Corinthians 1:16 "Yes, I also baptized the household of Stephanas. Besides, I do not know whether I baptized any other."
2 Timothy 1:16 "The Lord grant mercy to the household of Onesiphorus, for he often refreshed me, and was not ashamed of my chain."
Hebrews 11:7,9 "By faith Noah, being divinely warned of things not yet seen, moved with godly fear, prepared an ark for the saving of his household, by which he condemned the world and became heir of the righteousness which is according to faith.... By faith he dwelt in the land of promise as in a foreign country, dwelling in tents with Isaac and Jacob, the heirs with him of the same promise."