The incident reportedly occurred at the third terminal of the airport.
The incident was reported around 10:12 am on Wednesday, according to Shafiqul Islam, deputy assistant director of Fire Service and Civil Defence in Dhaka Zone-3, reported bdnews24.
Four firefighting units rushed to the spot and brought the fire under control.
A preliminary investigation suggested that it was an accidental fire, but its cause was not immediately clear, Shafiqul told the news portal.