The government has reduced public gatherings to no more than two people, as measures to limit social interactions get still tougher.
Prime Minister Scott Morrison also announced that the states and territories will impose a moratorium on evictions for commercial and residential tenants for the next six months.
Playgrounds, outside gyms and skate parks will be closed.
Everyone aged 70 or older should now self-isolate, Mr Morrison said, describing this as "strong advice", rather than a new rule that would be enforced by fines.
In the ACT, authorities are still trying to find out how two people in Canberra got coronavirus, but say it is too early to determine if it was community transmission.
Six new cases of coronavirus were confirmed in the ACT on Sunday, bringing the territory's total to 77 cases. The new cases were four men and two women, aged between 19 and 82.
- Public gatherings limited to two people
- Early signs of curve flattening, as rate of new coronavirus cases slows
- Morrison government working on wage subsidy scheme
- Dept heads told public servants 'should' work from home
- ACT industry welcomes wage subsidy proposal
- Talks over how ACT private hospitals would help with mass coronavirus cases
- Ice rink could become makeshift morgue in worst case scenario
- How to get the government's new COVID-19 apps
- Interest in gardening grows as isolation measures dig in
- Keep apart - but mostly they kept away
- Warning of 'bodies in the streets' if COVID-19 takes off in PNG
- Overnight: Unfolding around the world: 'We can't save everyone
- More coronavirus news
- You can also call the Coronavirus Health Information Line on 1800 020 080
- If you have serious symptoms, such as difficulty breathing, call Triple Zero (000)
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