The storms have caused flooding and road closures across areas of the country's east coast that have been ravaged by bushfires.
The start of the Australian Open tennis had been in doubt after smoke from the fires caused some players to suffer breathing problems.
That fear has now gone and the main tournament is due to start as usual on Monday.
Over a hundred fires are still raging despite the downpours.
Victoria, New South Wales and Queensland are having to deal with torrential rain in several areas.
Major highways have been closed and there have been power outages too in Queensland and new South Wales.
MS NOW, CNN and Politico to sue over White House ban
Afghanistan says Pakistani airstrikes kill at least three
New air traffic control failure delays flights at UK airports
Textile factory fire in southern Chinese city of Foshan kills 8
Typhoon approaches eastern Japan, prompts flood and landslide warnings
