The baptism with the Holy Spirit was foretold of by both John the Baptist and Jesus1,2. Jesus further qualified it as something that would happen to the apostles, giving them power2.
The baptism with the Holy Spirit for the apostles happened just as Jesus said it would2 “not many days” later on the day of Pentecost. This was also the first day the gospel was preached to the Jews in Jerusalem3. That day three thousand were added to Christ.
The second time we read of the baptism with the Holy Spirit was at the conversion of the first gentiles4. It was a miraculous (“power”) spectacle just like on the day of Pentecost. In fact, it was a necessary display to convince Peter, his traveling companions and the Christian Jews back in Jerusalem of God’s acceptance of gentiles into the kingdom4. Other passages5 are sometimes promoted as speaking about this special Holy Spirit baptism but they are forced interpretations often taken out of context.
Both of these occurrences marked “firsts” – the first conversion of Jews and Gentiles (each). Evidently, the baptism with the Holy Spirit was for a specific and special purpose. It was the miraculous ushering in to the kingdom of God for “the Jew first and also the Greek” (Romans 1:16).