Australia's Covid-19 vaccine rollout began Sunday, with top officials among a small group receiving the first jabs a day before the vaccination programme starts in earnest.

Prime Minister Scott Morrison was injected with the Pfizer/BioNTech vaccine at a medical centre in Sydney's northwest, in what the government said was an effort to boost public confidence in the vaccinations.

Jane Malysiak, an aged care resident and WWII survivor in her 80s, was the country's first person to receive the vaccine, followed by health care workers and other officials.

"She's taking part in what is a very historic day for our country," Morrison said.

"Tomorrow our vaccination programme starts, so as a curtain-raiser today we're here making some very important points -- that it's safe, that it's important, and we need to start with those who are most vulnerable and are on the front line."

Prime Minister Scott Morrison was vaccinated at a medical centre in Sydney
Prime Minister Scott Morrison was vaccinated at a medical centre in Sydney AFP / Steven SAPHORE

It comes a day after anti-vaccination demonstrations in major cities attracted thousands, with police arresting several protesters in Melbourne, according to public broadcaster ABC.

Almost 22 percent of Australians said they were unlikely to get the jab, with vaccine hesitancy rising in recent months, an Australian National University survey found.

The country's vaccination programme is starting months after other nations', following its provisional approval of the Pfizer product for use in January.

The Oxford/AstraZeneca vaccine was also approved in recent days but is yet to be administered.

Australia has been relatively successful in containing the virus to date, with almost 29,000 cases and 909 deaths in a population of 25 million.

Coronavirus