Separately, seven hospitals in Australia have also reported disruptive ransomware infections.
"Some elective surgery and appointments have been cancelled," said Barwon Health, one hospital operator affected by the incident.
The Government of Victoria said the seven hospitals were located in Gippsland and south-west Victoria.
Multiple computer systems have had to be disconnected as a result, which has meant some patient record, booking and management services have been shut down.
This could affect efforts to contact patients and schedule appointments, the Government of Victoria said: "Where practical, hospitals are reverting to manual systems to maintain their services."
In cases where patient histories, charts, images and other information has been made unavailable, it may be necessary to reschedule some appointments, the authority added.
Daniel Andrews, Premier of Victoria, told local media it could take "weeks" before the problems were fixed.
The Victorian Government Cyber Incident Response Service has dealt with more than 600 cyber-attacks since July 2018.
"Unfortunately the groups breaking into individual computers at organisations are becoming rapidly better at obtaining access across networks, and then causing chaos with a goal to being paid," said UK-based cyber-security expert Kevin Beaumont.
"This problem isn't going to go away," he added.
He said organisations needed to review their security procedures and ensure that backups were in place - and also that such backups had been recently tested - so that data and systems could be restored in the event of a ransomware infection.