Footage from the incident shows a man in a hat speaking loudly as he walks between seats.
See also: Celebrities behaving badly on planes
Seconds later another passenger with grey hair can be seen grabbing the man before moving him into a chokehold and placing him on the floor.
He said: "He was making a nuisance of himself. Over the course of the flight he was singing loudly with his headphones on.
"It was a late flight, everyone was tired and he was rubbing people up the wrong way.Dean Whiteside
"The stewardess spent about an hour telling him, 'You're going to need to be quiet or I'll call the police'."
When the 22-year-old man refused to keep quite, police were called when the flight arrived back in the UK at 11pm on June 30.
He then attempted to push past cabin crew while shouting: "Get out of my face".
While many passengers looked on in shock, one had clearly had enough and headed towards the disruptive traveller.
They grey-haired man then can be heard shouting: "citizen's arrest", while other passengers cheer him on.
Other passengers were allowed to leave the plane while the problem passenger was restrained while police made their way to the aircraft.
A spokesperson for Bedfordshire Police said: "We were called to attend Luton Airport arrivals at 11pm on June 30 following reports of a passenger acting aggressively on an inbound flight.
"A 22-year-old man from Dagenham was arrested on suspicion of common assault and being drunk on an aircraft.
"He was taken into police custody and dealt with by way of simple caution."
According to The Sun, Ryanair's Kenny Jacobs said: "The crew of this flight from Girona to London Luton requested police assistance upon arrival after a passenger became disruptive inflight.Dean Whiteside
"The aircraft landed normally and the passenger was met by police.
"We will not tolerate unruly or disruptive behaviour at any time and the safety and comfort of our customers, crew and aircraft is our number one priority. This is now a matter for local police.
"This is exactly why we are calling for significant changes to prohibit the sale of alcohol at airports."