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.


Belarus frees Nobel winner, protest figures as US lifts more sanctions
Indonesia flood death toll exceeds 1,000
Ukraine's Odesa suffers major blackouts after Russian attack
Two killed in Ukrainian drone strike on Russia's Saratov
Thailand continues Cambodia strikes despite Trump's ceasefire claim
