The new case brings Melbourne's rolling 14-day average of new cases per day down from 2.6 to 2.4, and there are two mystery cases.
Melbourne and the surrounding areas were the epicenter of Australia's pandemic, with a peak of 700 new cases a day back in August, and 819 of the nation's 907 total deaths from the coronavirus.
In regional Victoria the 14-day average remains at zero.
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It comes after Victoria recorded no new cases on Monday - the first time in 139 days - and then again on Tuesday.
Premier Daniel Andrews has encouraged Victorians to dob in people flouting COVIDSafe rules, saying it's "everyone's business".
Victoria has recorded nearly 20,350 cases since the start of the pandemic, with 76 cases still active as of Thursday.
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Andrews' centre-left state government closed businesses, imposed a night-time curfew and ordered Melbourne's five million residents to stay at home for more than three months in one of the world's strictest lockdowns to defeat the virus.
This week, with daily new infections in the state down to single digits and few deaths over the past two weeks, Andrews lifted the stay-at-home order and allowed restaurants and pubs to reopen.
Residents of Australia's Melbourne city welcomed the reopening of bars and restaurants for the first time in almost four months after Covid-19 lockdown restrictions were lifted.
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