Fourteen men terrorised other passengers on the Ryanair flight to the Spanish island, which departed from Prestwick Airport on Tuesday evening.
The flight had been carrying 174 passengers.
It is understood the group had been drinking alcohol bought from duty free at the airport before boarding the flight and becoming increasingly rowdy.
Their behaviour became so out of control the pilot was forced to divert the flight and alerted French air bosses that he would be making an emergency landing at Beauvais Airport.
Police said 14 men had been taken off the plane at Beauvais Airport, just north of the French capital, and were questioned by authorities.
Passengers described how the group of young men were "running wild" onboard the flight.
Holidaymakers were delayed by around 30 minutes as police officers boarded the plane, which later took off again without the drunken group.
It is believed the group were released by police in the early hours of yesterday morning.
However, they could face charges at a later date after an official complaint was made against them.
Flight operator Ryanair confirmed its pilot had been forced to take action and that the French police had been called in.
Ryanair's Robin Kiely said: "A Ryanair flight from Glasgow Prestwick to Ibiza on September 17 diverted into Paris Beauvais after a small group of passengers became disruptive onboard.
"On arrival, police removed and detained these 14 individuals.
"Ryanair apologised to the other 160 passengers for any inconvenience and delay to their journey, but will not tolerate unruly or disruptive passengers. This matter is now being dealt with by the French police."
Last month, a number of men were detained by Spanish police following disturbances on another flight from Prestwick to Ibiza.
Flight crew asked for police assistance at Ibiza Airport and a number of people were detained before other passengers were allowed to disembark.
A Foreign Office spokeswoman said last night: "We are aware of the detention of a number of British nationals in France.
"We provided consular assistance."