Masterton Mayor Lyn Patterson said she was not yet aware of specifics about the positive case.
"I'm only aware that we have a positive case in Masterton and of course that's never good news," she said.
However, she said the Masterton community knew the rules and she was confident they would follow them.
"If people haven't been vaccinated and are able to get vaccinated, please get vaccinated," she said.
"That's the way we can minimise the risk for everybody in our community."
"We know the rules, we know what we need to do - wear a mask, social distancing, sanitise, contact tracing – so just encouraging everyone to follow those rules."
Eighty-nine per cent of the eligible population in Wairarapa has received one dose of the vaccine, with 78 per cent fully vaccinated.