However, the first dose was given to 84-year-old Jane Malicek, a World War II survivor.
The vaccination drive was launched in Sydney, Western Australia and is expected to deliver vaccines to 4 million Australians by March.
It also plans to administer the COVID vaccine to all 25 million Australians by October.
The total number of COVID infections in Australia, which has largely controlled, is less than 29,000, while the number of COVID deaths in the country is 909.
New Zealand also launched the COVID vaccine drive yesterday using the Pfizer BioNTech vaccine, giving priority to medical professionals and the Corona Control Force.
The number of corona infections in New Zealand is limited to 2350, while the number of corona deaths reported from that country is 26.