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:
1. Leeds Bradford Airport
Photos have been shared of the aftermath of the dramatic incident Photo: PA
2. 'Skidded off the runway'
Emergency services at the scene after a passenger plane came off the runway at Leeds Bradford Airport while landing in windy conditions during Storm Babet Photo: Danny Lawson
3. Arriving from Corfu
The Tui flight was arriving from Corfu during Storm Babet when it came off the runway on Friday afternoon Photo: Danny Lawson
4. 'Almost sideways'
One witness said that the plane was 'almost sideways' as it came in to land this afternoon Photo: Danny Lawson
6. Leeds Bradford Airport closed
The airport was closed after the incident Photo: Danny Lawson