Irvine said there was "nothing sinister" in the man's comments, but he had created a disturbance.
Jetstar spokesman Phil Boeyen said the man was disruptive.
"The police came to give him a warning about the chainsaw," he told the Herald.
"It was resolved but he made some more comments and the pilot wasn't happy to take him."
The man, who was accompanied by his partner and child, was then removed from the flight, Boeyen said.
He would not reveal what the man said, but said the comments were not security related.
The man was able to board a 7.15pm flight, which was delayed an hour because of his disturbance, the Jetstar spokesman said.