This comes after Vietnamese authorities confirmed 13 new cases of the virus last week, connected to a flight which arrived from the United Kingdom.
Elizabeth Schulze (42) a teacher from Kaitaia, says her husband, Hayden Schulze from Dannevirke (41) and their two children Alexei and Riley entered quarantine at half-past three New Zealand time.
She said the ParkCity Club Hanoi, where the family live, informed them they had been at the same gym as a group of people involved with a major national event. The group had been on a flight from London to Hanoi last week and were seated behind a person who has tested positive for the virus.
Schulze told Metronews she did not feel herself or her family had the virus as they had no symptoms and did not come in direct contact with the infected individual.
The family are living in Vietnam, where Schulze and her husband work at an international school.