The disciples, in the book of Acts,
baptized people in the name of Jesus. This was a water baptism for the remission of sins, and represents a death to the old man; part of the new birth experience mentioned by Jesus to Nicodemus in John 3.
"And he said, "Into what then were you baptized?" They said, "Into John's baptism." And Paul said, "John baptized with the baptism of repentance, telling the people to believe in the one who was to come after him, that is, Jesus." On hearing this, they were baptized in the name of the Lord Jesus." Acts 19:3-5 ESV