Matthias Gillman, a spokesman for the UN stabilisation mission in Congo (MONUSCO) confirmed the incident.
He said that the four-engine turboprop C-130 Hercules aircraft overshot the runway while landing in Goma and burst into flames.
However, the fire was quickly put out by firefighters at the airport and the 59 passengers and eight crew members escaped unharmed, NAN reports.
The passengers include solders from the MONUSCO mission in the city of Beni.
The UN has tried to stabilise the country for the past 20 years with a 15,000-strong peacekeeping force.