More than 40 passengers ran riot on a Thomas Cook flight from London Gatwick to Cuba, with one trying to open the emergency exit in mid-flight.
On the return flight on December 30, the same group were again drunk and 17 were stopped from reboarding for the second leg of their trip at Cuba's Varadero airport.
Police met their flight at Gatwick and Thomas Cook is investigating events with a view to a possible complaint to police.
The passengers, thought to be from Ireland, are said to have 'run amok' on the flight to Holguin in Cuba on December 16.
They are alleged to have caused more drunken mayhem at their all-inclusive hotel in the resort of Playa Pesquero.
Dozens of fellow holidaymakers complained about their behaviour on the outward flight and at the resort.
Fellow passenger Sue Brown, of Worcester Park, Surrey, said: 'On the outward flight, they were smoking, allowing children to run up and down and ignoring all instructions from the crew.'
She added: 'One of the children thumped a passenger for no reason. I was so scared that I left my seat and sat in the galley with the crew for five hours.'