South Korean acting President Choi Sang-mok, who was named interim leader of the country on Friday after the previous acting president was impeached amid an ongoing political crisis, ordered all-out rescue efforts, his office said.
His chief of staff convened an emergency meeting.
The Muan International Airport is in Muan county, which is about 288km southwest of Seoul.
The fire agency said it had mobilised 32 fire engines and scores of fire fighters to the scene.
This is the first fatal accident in the history of Jeju Air, one of South Korea’s largest low-cost carriers, which was set up in 2005.
On Aug 12, 2007, a Bombardier Q400 operated by Jeju Air carrying 74 passengers came off the runway due to strong winds at the southern Busan-Gimhae airport, resulting in a dozen injuries.
South Korea’s aviation industry has a solid track record for safety, experts say.
Last year, a passenger opened an emergency exit on an Asiana Airlines flight as it was preparing to land, with the aircraft landing safely but several people hospitalised.