According to a tell-all book, 'Untouchable' by Randall Sullivan, the two stars argued when they both showed up in White Plains, a few days after the aeroplanes hit the Twin Towers, the Daily Mail reported.
The book claims Jackson along with his children and several relatives arrived in the area to get a ride back to Los Angeles. But he was confronted by Wahlberg and his entourage who were also waiting to use the transportation.
The stars allegedly came to verbal blows over who got the plane until Sony bosses announced that Jackson was welcome to the jet because he was the bigger celebrity.
The author claims that Jackson eventually changed his mind at the last minute and wanted to get to California by bus, resulting in his entourage flying without him.
Later Jackson changed his mind again and sent his mother and some loved ones on the bus, forcing a second plane to be sent from the company.
Sources close to Wahlberg have refuted the claims saying that the actor would not have needed the plane as had an aircraft of his own.