She is reported to be recovering well in Frances Perry House private hospital in Melbourne, where she is being supported by her 78-year-old husband.
Neither wish to be identified, but Seven News reports that the woman had undergone many failed IVF procedures over seveal years.
The previous record for the oldest Aussie mum was believed to be held by a woman who gave birth to her first child at 60 in 2010.
Gold Coast author Anthea Nicholas is the oldest recorded Aussie woman to conceive naturally after she gave birth to son Nicholas at 50 in 2011.
But news of the latest record hasn’t thrilled many experts.
Monash University professor Gab Kovacs tells The Daily Telegraph that the end of natural pregnancy for a woman is 53.
To help anyone older than that have a baby naturally was “irresponsible”.
“Our bodies weren’t designe to have childen in our 60s. I don’t think any responsible IVF unit in Australia would treat someone at that age, and it’s not a standard of medicine I would condone.”
The current world record for the oldest mum is believed to be held by 72-year-old first-time Indian mum Daljinder Kaur.
She gave birth to a healthy boy earlier in 2016 at the National Fertility Centre in Haryana state, which offers fertility treatment to women who are decades beyond their menopause.
Although her exact date of birth is unclear, Mrs Kaur told doctors she was around seven years younger than her husband Mohinder Singh Gill, who is 79.