The most recent patient is a 40-year-old man from Cunningham, a heavily populated suburb.
On the weekend, the woman and her family attended a super-spreader gathering.
Fijian authorities have closed companies that require public contact and have suspended all in- and out-of-country travel.
The latest laws will be in effect for 14 days as the government searches for 500 people who were exposed to a woman contaminated as a result of a leak at a MIQ.
The family responded to a public appeal for people who attended a funeral in Lautoka, since labelled by the Ministry of Health and Medical Services as a super-spreader event.
Meanwhile, there is to be no travel in and out of the country unless for, or returning from, medical trips.
Travel between the main island Viti Levu and the outer islands of the country is now prohibited.
New Fiji health Covid-19 guidelines
Fiji’s Permanent Secretary for Health Dr James Fong called on people to please wear masks, practice social distancing and keep their careFIJI app on.
Higher-risk businesses, such as gyms, movie theatres, video gaming shops, cyber cafes, taverns, bars, billiard shops and amusement arcades in Viti Levu cannot open for at least the next 14 days.
Restaurants in Viti Levu may not open for in-person dining but may offer delivery and takeaway services.
The curfew hours will remain from 11pm to 4am.
Supermarkets, shops selling food and open-air markets can open so that people can buy food.
Banks, FNPF and pharmacies can open.
However, it is vital that vendors and businesses ensure strict physical distancing before opening their doors.
They need to make sure customers in queues are spaced out by two metres and manage crowding.
Dr Fong said all employers who can allow their employees to work from home should do so.
Other businesses and places of work can open, though staff must have careFIJI downloaded on their phones.
If someone does not have a smartphone, their contact tracing details must be recorded every day.
Customer-facing businesses should limit customer capacity to 50 percent.
The Permanent Secretary for Health said businesses that do not manage these risks with Covid-safe plans will be shut down.
“The virus is here and we cannot afford to turn a crowded market into the next centre of an outbreak,” he said.