The two new cases, a woman and a man in their 50s, are from the Sutherland Shire and close contacts of previously reported cases. They have both been in isolation.
New Zealand health authorities have been warning travellers who have arrived from the city to pay attention to the locations of interest, and to isolate get tested if they have been to one.
However, authorities have also said the travel bubble with the state remains in place.
Meanwhile, a woman has tested positive to Covid-19 in Queensland overnight.
Queensland Health said in a statement that the woman, aged in her 30s, had completed 14 days of hotel quarantine at 9am on Saturday.
She had returned negative tests during hotel quarantine.
A follow-up test on 19 June shortly after leaving hotel quarantine – which was as part of routine aircrew surveillance – came back positive on Saturday evening.
NSW has mandated masks indoors for seven local government areas in Greater Sydney until Thursday.
The seven LGAs are: the City of Sydney, Waverley, Randwick, Canada Bay, Inner West, Bayside and Woollahra.
The indoor venues where masks are mandatory include retail, theatres and aged care facilities. They are also required for all front-of-house hospitality staff.
A pop-up testing clinic has been set up in Drummoyne at the Birkenhead Point rooftop car park. The hours of other testing sites have also been extended.
The mandate on masks on public transport has now been extended to Wollongong and Shellharbour, as well as Greater Sydney and the Blue Mountains.
NSW Health said anyone who was in Westfield Bondi Junction, including the car park, on 12 June and 13 June must get tested.
Only people with symptoms and those in the specific exposure venues at the listed times are being asked to test and isolate.
In the past 24 hours, 9049 vaccines have been administered, including 6113 at the vaccination site at Sydney Olympic Park.