A Tasmanian woman has reportedly become a mother at the age of 62, making her the oldest woman to give birth in Australia.

Channel Seven reported that the baby girl is the first child for the unidentified woman and her 78-year-old partner.

According to the report, the woman gave birth by caesarean section at Melbourne's Frances Perry House private hospital on Monday.

The baby was born premature but is said to be progressing well, along with her mother.