Logan Park High School in Dunedin is closing for at least 48 hours after one of its students tested positive for coronavirus.
It means New Zealand now has 12 confirmed cases of the disease.
The student is the son of a Dunedin man who contracted COVID-19 after returning from Europe.
He developed symptoms after he returned to New Zealand. Later on, two of his family members were also showing symptoms. All three people are currently in self-isolation.
The Ministry of Health's Director-General Dr Ashley Bloomfield says since the man, who is in his 40s, showed symptoms five days after returning to New Zealand, there is no need for contact tracing for people who were on his flight.
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Dr Bloomfield said earlier on Tuesday they are expecting "more sporadic" cases of COVID-19.
"All our cases to date are associated with international travel. And, as over the last two weeks we have seen a big increase in the number of countries overseas with cases, we will expect more travellers returning to New Zealand to present with symptoms of COVID-19."