Queensland has had its biggest single-day jump in coronavirus cases taking the number of people detected with the COVID-19 to 61.
State Health Minister Steven Miles said health officials were doing their best to trace the movements of each person who had contracted the virus.
"We have just had the largest number of single cases in any one day with 15 cases confirmed in the last 24 hour period," Mr Miles said.
From midnight all people coming to Australia will have to self-isolate for 14 days, while cruise ships will be banned from arriving at Australian ports for an initial 30 days.
Queensland Premier Annastacia Palaszczuk said there were heavy fines for anyone who did not follow the directive to self-isolate under the 'Public Health Emergency Act'.
"That bill was passed in early February and there are penalties for not complying with the notification and that is around $13,000," she said.
"We have random police checks to make sure people are compliant with that notice."
She also called on people to stop stockpiling food and other goods.
Supermarkets have applied restrictions on the number of packets of toilet paper, bottles of hand sanitiser and food items that can be purchased in any single transaction.
"Now is not the time to panic. Now is the time to be calm," she said.
"We have ample supplies here in Queensland."
Queensland's chief health officer warned that now may not be the time for children to visit nana and pop.
Dr Jeanette Young said measures announced by Prime Minister Scott Morrison that included people having to self-quarantine upon arrival from overseas would also help slow down the spread of the virus.
"The aim is to contain it as much as possible where we can so we can protect the most vulnerable," she said.
"The vast majority of people will have a mild disease.
"I implore people if you have parents or who have parents or grandparents in the that older age group think about how you can help them. Maybe it's not the time for your young kids to see their grandparents.