Federal and state governments have been shaken by the rapid rise in virus cases - now well above 1000 - and by the crowds on Friday and Saturday on Bondi beach and at bars and clubs.
Mr Morrison said the step had to be taken because Australians were not adequately sticking to rules around social distancing.
"If there is not a broad co-operation in the population. states will have to take more severe measures", Morrison told ABC television on Sunday night.
"The states are moving quickly to mandate and enforce them (social distancing measures), and they will be taking even stronger measures in particular areas, and potentially more widespread".
"People can not be cavalier about these things and must take them extremely seriously because lives and livelihoods are at stake", Morrison said.
Prime Minister Morrison announced that the government was adopting intrinsic measures against non-essential travel, adding that imminent efforts could slow down localized outbreaks, confirmed media reports.
Country Music Legend Kenny Rogers Dies Aged 81
In a post on the singer's verified twitter account , the family announced his death , saying he died on March 20, at 10:25 p.m. Roger's last concert, part of his The Gambler's Last Deal Farewell Tour, took place in Nashville on October 25, 2017.
It is not clear how much further (if any) the "shutdowns" in the two states will go beyond the baseline of closures set at the national cabinet. "If Australians cannot do that, if they can't do that on a broader scale, they are denying the government and authorities the most important weapon we have to save lives and to save livelihoods". The measure could remain in place for several months.
His announcement late on Sunday followed a meeting of the national cabinet after Victoria, the ACT and NSW indicated they were prepared to go it alone on moves to lock down non-essential services in their states.
Restaurants and cafes can continue operating on a takeaway or home delivery basis only.
"We need you to do your bit, when it comes to social distancing, to keeping that healthy distance, to respecting and following the rules that we're setting down".
Licensed premises in hotels and pubs.
Italy further tightens lockdown rules, closes all non-essential businesses #48172
But the Italian government appears intent on making more or less everyone stay in doors as much as possible at any cost. Lombardy has been under a lockdown since March 8 and the government had hoped to see results there first.
Importantly, bottle shops will be exempt.
The government could also consider locking down "red zones" as it has in Wuhan and parts of Northern Italy.
The additional restrictions come on top of bans on social gatherings of more than 500 people outside and 100 people inside that are already in place. Restrictions on entering aged care homes have also been introduced. If you are a four year old child at preschool, you do not get your year back.
Many online vented their confusion about closing facilities but leaving schools open which could still see the virus spread.
However, parents were reassured schools would reopen after the Easter holidays, based on current medical advice.
But Mr Morrison warned it would not be school holidays as usual, and the actions taken by parents and children over the break would have broad impacts.
Health unit confirms second COVID-19 case in Bradford
RVH President and CEO Janice Skot says, "his death is a tragedy and underscores the seriousness of this pandemic". That case concerned a 77-year-old man, again with an underlying illness, who died in hospital in the Barrie area.