A flight from Krakow to Dublin was forced to land after a note was discovered in a toilet claiming there were explosives on board.
The Ryanair flight was diverted to Stansted Airport to allow Essex Police officers to carry out checks.
Two RAF jets escorted the plane which landed at about 18:40 BST on Monday.
Police said nothing suspicious was found and two men have been arrested on suspicion of making threats to endanger an aircraft.
The men, aged 26 and 47, remain in custody and the plane has been handed back to Stansted Airport and the operator.
A spokeswoman for the airline said: “The plane landed normally, but was taxied to a remote stand where passengers disembarked safely.”
Footage of the RAF jets scrambling was shared on Twitter.
Andy Kirby, from Essex, said: “Looks like two eurofighters? Circling Stansted Airport.”
The Ryanair spokeswoman previously said the aircraft and passengers were “being checked by the UK police who will decide when they may travel onwards to Dublin on a spare aircraft”.
“Passengers in Dublin waiting to depart to Krakow are being transferred to a spare aircraft to minimise any delay to their flight,” she said.
Police confirmed all passengers were safely brought off the plane.