The pilot made an emergency call after the aircraft landed at 9:34 p.m. local time, and airport rescue and firefighting crews quickly extinguished the fire, according to the statement.
No one was hurt, the statement said.
The cause of the fire was not immediately known.
A video of the incident posted by the aviation news website, Airport Haber, showed flames coming out from the left side of the plane as emergency crews doused the aircraft. Passengers were seen evacuating the plane through an emergency slide, some carrying belongings.
The transportation ministry said efforts were underway to remove the aircraft from the runway. Arrivals at the airport were temporarily suspended while departures were taking place from a military-run runway.