The woman is believed to have become the oldest to give birth in Australia, beating a woman who became a mother at age 56, The Sunday Herald Sun reported.
The delivery took place through caesarean section at King Edward Memorial Hospital in Perth.
The woman had IVF treatment with donated eggs in India before delivering twins in Perth, sources said. She is understood to have spent the duration of her pregnancy in Western Australia.
The National Perinatal Data Collection earlier recorded the oldest woman to have given birth in Australia as 56. That woman had also become the oldest IVF patient in Australia after receiving treatment at a Queensland fertility centre.
Latest Western Australia health department statistics reveal that only six women aged 50 gave birth from 1980 to 2009.
Australian Medical Association president Andrew Pesce said few women over 50 had undertaken IVF treatment in Australia due to poor success rate over age 44.