The resident would continue to isolate in their villa until they return a second negative test.
Nicoll said the resident had had a single dose of the Covid-19 vaccine, but the visiting family member was double vaccinated.
The village was "shut down" on Monday, with staff restricting access movement in and out of the facility.
"The key thing for us is about communicating with our residents at Ocean Shores to make sure they are aware of what has happened," he said.
One News reported the visitor, the son of a resident, works at Tauranga Hospital.
The ministry said "a very small number" of contacts had been identified from the visit and were being tested.
There were five new Covid cases on Monday in the Bay of Plenty District Health Board region.
Four cases were linked to existing cases in Mount Maunganui. Investigations were under way into any possible links between the remaining case and any known cases.