A passenger shared a video on Twitter showing one of the brothers. Officers drag him out down the aisle.
Text continues below the tweet.
The flight departed from London to Crete on 3 May. According to the flight crew, the brothers drank a bottle and a half of vodka, which they found under their seats.
The incident left more than 200 passengers delayed by nearly four hours. The men have been fined £50,000 by the airline.