The two patients are an 88-year-old man and 94-year-old woman from the Holy Spirit Nursing Home in Carseldine in Brisbane.
Federal Health Minister Greg Hunt says the two residents are both “doing well” and suffering “no adverse reactions” to the overdose.
“The Chief Medical Officer, who has been involved in that, is in the fortunate position of being able to indicate that all are well and there have been no adverse outcomes,” he said.
The man is being treated in hospital.
Mr Hunt confirmed the doctor involved has been temporarily stood down from administering further vaccines.
The government has set an ambitious target of 125,000 people to be vaccinated by early April starting with frontline medical and hotel quarantine staff and the elderly.
Queensland Premier Annastacia Palaszczuk is also expected to provide further details on the incident this morning.