The damage was discovered when the plane was preparing for a flight back from Vinh to Ho Chi Minh City in the morning after landing at 8.30 a.m.
The carrier sent another airplane to pick up the stranded passengers.
The Northern Airports Authority said it is investigating the incident.
What caused the damage is still unclear. Tuoi Tre newspaper quoted an unnamed source as saying that the tailplane might have hit something when the plane was towed in Vinh Airport.