One twitter user has reported that the plane brought to the ground was Qatar Airways flight QR23, flying from the capital of country, Doha, to Manchester.
After passengers were kept on board and the plane taxied to a safe place away from the terminal, it has been reported that a man has been taken off the aircraft by armed police.
The airport was placed on lock-down, with workers reporting they were told there could be a full evacuation, but services are now resuming as normal.
According to reports, the pilot reported a possible device on board the aircraft, leading to fighter jets being scrambled to escort the plane to the ground.
Passenger Josh Hartley has been tweeting from inside the plane, giving updates to the outside world of what is happening his end.
In nearby Stockport, Twitter user Jodie Deegan said she was out shopping when she heard a 'noise like thunder' and then saw the passenger plane, escorted by the fighter jet, fly overhead.
According to Twitter users in contact with relatives on board, passengers are now being allowed to disembark the aircraft.
We will bring you more on this story as it develops.