The quake hit northeast of Australia’s second-most populous city near the town of Mansfield at a depth of 10 kilometers (6 miles), the government agency said.
Media showed images of damage to brickwork in Chapel Street in the inner suburb of South Yarra.
Mansfield Mayor Mark Holcombe told Australian Broadcasting Corp. he was not aware of any damage reports in the town.
Prime Minister Scott Morrison said there were no reports of serious injury.
The earthquake was the largest to rattle Australia since a magnitude 6.6 earthquake struck 210 kilometers (130 miles) off the northwest coastal town of Broome in 2019.
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