The spokesperson said the Lakes DHB advised police of the positive tests around 8pm yesterday.
"All staff that came into contact with them have been tested and are currently awaiting results. They are self-isolating as a precaution until results are received.
"Arrangements have been made to redeploy other staff to cover until these officers are able to return to work."
Rotorua mayor Steve Chadwick said in a statement from the council communications team cases in Rotorua were "inevitable".
"We've had cases in regions all around us for a while and we've managed to avoid it until now.
"That's enabled us to focus on getting our vaccination rates up, but we're not there yet, and these confirmed cases in our community emphasise how absolutely crucial it is to get vaccinated."
She encouraged unvaccinated people to get vaccinated and people with symptoms or who had been at locations of interest to get tested. She encouraged people to be vigilant about hygiene, wearing masks, social distancing and keeping track of their movements.
Contact tracing is under way for the Rotorua cases and locations of interest will be added to the Ministry of Health's website when they become available.