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.
Russian strikes on Ukraine kill four, knock out heat and power
BBC seeks to have Trump's $10 billion lawsuit dismissed
Venezuela says 116 prisoners released, rights groups cite much lower figures
Australian teen charged with making hoax mass shooting calls in the US
Top Australian writers' festival cancelled after Palestinian author barred
