The following lists events that happened during 1875 in Australia.
- Governor of New South Wales – Hercules Robinson, 1st Baron Rosmead
- Governor of Queensland – Sir William Cairns
- Governor of South Australia – Sir Anthony Musgrave
- Governor of Tasmania – Frederick Weld
- Governor of Victoria – Sir George Bowen
- Governor of Western Australia – The Hon. Sir Frederick Weld GCMG, then Sir William Robinson GCMG.
- Premier of New South Wales – Henry Parkes until 8 February, then John Robertson
- Premier of Queensland – Arthur Macalister
- Premier of South Australia – Arthur Blyth until 8 June, then James Boucaut
- Premier of Tasmania – Alfred Kennerley
- Premier of Victoria –
- 11 January – William Robinson arrives in Western Australia to become Governor of the colony.
- 13 January – Frederick Weld becomes Governor of Tasmania.
- 23 January – William Cairns becomes Governor of Queensland.
- 9 February – John Robertson becomes Premier of New South Wales, replacing Henry Parkes.
- 24 February – The SS Gothenburg strikes Old Reef off Ayr, Queensland and sinks with the loss of 102 lives.
- 24 May – J. V. Mulligan and party discover the Barron River in Queensland, they left Cooktown on 17 April
- 6 May – Ernest Giles and party leave South Australia for an overland expedition to Perth, they arrive on 10 November.
- 3 June – Premier of South Australia Arthur Blyth resigns and is replaced by James Boucaut.
- 7 August – Graham Berry becomes Premier of Victoria.
- 20 October – James McCulloch becomes Premier of Victoria for the fourth time.
- 24 December – 59 die when a cyclone destroys the pearling fleet in the Exmouth Gulf of Western Australia.
Arts and literatureEdit
- New South Government establishes an art gallery in Sydney; it later becomes the Art Gallery of New South Wales.
- 28 January – James Hurtle Fisher, South Australian pioneer (born 1790)
- 25 February – Thomas Reynolds, premier of South Australia (born 1818)
- 25 February – James Stokes Millner, medical practitioner (born 1830)
- 10 September – Silas Gill, Methodist preacher
- 20 October – Charles Cowper, premier of New South Wales (born 1807)
- 9 November – William Hovell, explorer (born 1786)
- 2 December – Charles La Trobe, lieutenant-governor of Victoria (born 1801)