1892 in Australia
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- Premier of New South Wales - George Dibbs
- Premier of South Australia - Thomas Playford II (until 21 June), Frederick Holder (until 15 October), then John Downer
- Premier of Queensland - Samuel Griffith
- Premier of Tasmania - Philip Fysh (until 17 August) then Henry Dobson
- Premier of Western Australia - John Forrest
- Premier of Victoria - James Munro (until 16 February), then William Shiels
- 20 April - Victoria holds a general election.
- 23 May - Frederick Deeming hanged at Melbourne Gaol having been unsuccessfully defended by the lawyer Alfred Deakin. Deeming was accused of committing a series of crimes on three continents — theft, perjury, fraud, bigamy and murder; he used at least 20 aliases.
- 10 October - Jackie Howe shears a total of 321 sheep in 7 hours and 40 minutes at Blackall, Queensland, a record for hand shears that still stands.
- 5 October - the Australian Cricket Council announces an intercolonial cricket competition to be known as the Sheffield Shield.
- Glenloth wins the Melbourne Cup
- 13 April - Gladys Moncrieff (died 1976), singer
- 20 April - Grace Cossington Smith, (died 1984), artist
- 6 July - John Simpson Kirkpatrick (died 1915), World War I ANZAC known as "the man with the donkey" 
- 7 August - Sir Arthur Coles (died 1982), businessman and philanthropist
- 8 December - Bert Hinkler (died 1933), aviator
- 10 May - Barcroft Boake (born 1866), poet
- 7 November - John Morphett (born 1809), explorer, settler and politician