Luton confirmed it had suspended flights in a tweet issued shortly before 10.30pm on Tuesday (10 October) and urged people to stay away from the scene.
Bedfordshire Fire and Rescue confirmed its attendance at around 8.45pm and declared a major incident shortly after 9.30pm after crews battled a "rapidly escalating fire".
Flights are currently suspended until 3pm on Wednesday. Passengers are advised not to attend the airport due to "severely restricted" access to the terminal.