The parent of two students at Southland Boys' High School and Southland Girls' High School has tested positive with coronavirus.
The students are well and without symptoms, and there was minimal risk to other students, staff or others at the school, the Southern DHB said in a letter to parents of both schools.
In case the students developed the virus in the future, they would stay at home as a precaution - the entire family had entered self-isolation.
Contact tracing for the Invercargill patient was under way and any close contacts would be advised to self-isolate for 14 days from when they were in contact.
People were not at risk if they had been in contact with someone considered a close contact - as the close contact did not have the virus.
"Contacts of close contacts do not have to take any action such as self-isolating themselves," the DHB said.