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.
India begins voting in election as Modi seeks historic third term
Teenager charged with terrorism over Sydney bishop stabbing
Kenya's military chief among 10 killed in helicopter crash
Security Council to vote on Palestinian UN membership
