The Tui flight was arriving from Corfu during Storm Babet when it came off the runway on Friday afternoon.
Pictures showed emergency services arriving at the scene, with the plane at the side of the runway.
There were no reported injuries and the airport has been closed this evening.
Check out some of our pictures of the dramatic incident in our gallery below:
7. Incoming flights diverted
Scheduled arrivals were diverted to other airports including East Midlands and Newcastle. Photo: Danny Lawson
8. No reported injuries
An airport spokesperson said: “We can confirm there are no reported injuries from this incident and that all passengers have now safely disembarked the aircraft. Photo: Tony Johnson
9. Work ongoing
The airport said it was "working with the airline, relevant operations teams and emergency authorities to resolve this situation and return services safely as quickly as possible" Photo: Tony Johnson
10. Passenger advice
Passengers were urged to contact their airline to check the status of their flight before travelling to the airport. Photo: Tony Johnson
11. All persons evacuated
All persons have safely disembarked from the plane Photo: Danny Lawson
12. Storm Babet
Storm Babet has caused significant disruption across the north of England and Scotland Photo: Danny Lawson