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Greater Sydney and surrounding regions are in lockdown until at least July 30, as health authorities battle to contain an outbreak of the virulent Delta strain.
"Time and time again cases are popping up in workplaces ... but also in households," Premier Gladys Berejiklian said on Tuesday.
Two women in their 80s who died of the virus, as reported on Monday, were household contacts of people who were unvaccinated.
Ms Berejiklian said the virus was now becoming more prevalent in western Sydney, than in south-western Sydney.
A multi-storey apartment block in western Sydney has been locked down with a police guard to enforce two weeks of quarantine after six cases of Covid-19 were detected amongst the residents.
Around 100 people living in the five-storey building are being urgently tested after the first case was diagnosed in a resident in the Devitt St building in Blacktown on Monday.
Western Sydney Local Health District says all residents are considered close contacts.
The six cases were identified in three associated households of the apartment block of 50 units, which is owned by Evolve Housing, one of the country's largest community housing providers.
Authorities are working with residents and building management to and other agencies "to implement measures to address infection control and the health and welfare of residents".
"Food and other services, including daily welfare checks, will be provided to residents safely during their 14-day quarantine period," the Western Sydney Local Health District said.
"Tailored support services will be provided to all isolated residents as needed."
The emergency reinforces the need for everyone to wear a face mask in shared foyer or lobby areas, lifts, stairwells and corridors, and shared laundry facilities.
NSW Police were called by NSW Health on Monday night to guard the building.
One resident who has so far tested negative said the building was surrounded by police, media camera crews and security guards.
"It's a bit daunting, a bit scary," she told Sydney radio 2GB on Tuesday.
"There's a lot of police outside and we just don't know what's going on right now."
Blacktown is one of the local government areas at the epicentre of Sydney's Covid outbreak and non-essential workers cannot leave, even for work.
The deaths of the two women are included in Tuesday's numbers.
One died at her home in Pendle Hill in Sydney's west and the other at Campbelltown Hospital, taking the death toll from the state's latest outbreak to 10.
A week-long lockdown in the NSW regional local government areas of Orange, Cabonne and Blayney will expire at 11.59pm on Tuesday.
A full list of NSW exposure sites can be found at health.nsw.gov.au