Air New Zealand also responded to Auckland's new lockdown by stopping food and drink service and closing some lounges.
It comes as Victorian Premier Andrews said the “hyper-infectious” British strain of COVID is spreading faster than contact tracers can keep up with.
Deputy Prime Minister Grant Robertson said it would aim to maintain its majority ownership, which now stands at 52 per cent.
The airline said the move is in response to new rules by the Hong Kong government requiring cabin crew to quarantine after coming off duty.
A Qantas flight dispatch duty manager has spoken about how the pandemic caused her to work five jobs and cancel her health insurance.
The service, from Brisbane to Sydney on Friday 5 March, will be hosted by cabin crew member and “Sydney drag royalty” Penny Tration.