Governors

• Governor of New South Wales
  Governors of New South Wales
  The Governor of New South Wales is the state viceregal representative of the Australian monarch, Queen Elizabeth II, who is equally shared with 15 other sovereign nations in a form of personal union, as well as with the eleven other jurisdictions of Australia, and resides predominantly in her...
  
   – Captain Philip King
  Philip Gidley King
  Captain Philip Gidley King RN was a British naval officer and colonial administrator. He is best known as the official founder of the first European settlement on Norfolk Island and as the third Governor of New South Wales.-Early years and establishment of Norfolk Island settlement:King was born...
  
  

Events

• 8 April – Matthew Flinders
  Matthew Flinders
  Captain Matthew Flinders RN was one of the most successful navigators and cartographers of his age. In a career that spanned just over twenty years, he sailed with Captain William Bligh, circumnavigated Australia and encouraged the use of that name for the continent, which had previously been...
  
   meets the French explorer Nicolas Baudin
  Nicolas Baudin
  Nicolas-Thomas Baudin was a French explorer, cartographer, naturalist and hydrographer.Baudin was born a commoner in Saint-Martin-de-Ré on the Île de Ré. At the age of fifteen he joined the merchant navy, and at twenty joined the French East India Company...
  
   at Encounter Bay
  Encounter Bay
  Encounter Bay is located on the south central coast of South Australia, some 100 km south of Adelaide, South Australia. It is named after the encounter on 8 April 1802 between Matthew Flinders and Nicolas Baudin, both of whom were charting the Australian coastline for their respective countries...
  
  .
• 2 June – Pemulwuy
  Pemulwuy
  Pemulwuy was an Aboriginal Australian man born around 1750 in the area of Botany Bay in New South Wales. He is noted for his resistance to the European settlement of Australia which began with the arrival of the First Fleet in 1788. He is believed to have been a member of the Bidjigal clan of...
  
   is shot and killed following the killing of four white men at Parramatta and Toongabbie.

Exploration and settlement

• 14 February – Acting lieutenant John Murray
  John Murray (Australian explorer)
  John Murray was a seaman and explorer of Australia. He was the first European to discover Port Phillip, the bay on which the cities of Melbourne and Geelong are situated....
  
  , commander of the Lady Nelson
  Lady Nelson
  The Royal Navy purchased Lady Nelson in 1799. She spent her career exploring the coast of Australia in the early years of the 19th century. She was the first known vessel to sail eastward through Bass Strait, the first to sail along the South coast of Victoria, as well as the first to enter Port...
  
  , explores Port Phillip
  Port Phillip
  Port Phillip Port Phillip Port Phillip (also commonly referred to as Port Phillip Bay or (locally) just The Bay, is a large bay in southern Victoria, Australia; it is the location of Melbourne. Geographically, the bay covers and the shore stretches roughly . Although it is extremely shallow for...
  
  .
• 1 May – Matthew Flinders
  Matthew Flinders
  Captain Matthew Flinders RN was one of the most successful navigators and cartographers of his age. In a career that spanned just over twenty years, he sailed with Captain William Bligh, circumnavigated Australia and encouraged the use of that name for the continent, which had previously been...
  
   becomes the first European to visit the You Yangs
  You Yangs
  The You Yangs are a series of granite ridges that rise to 364m above the Werribee Plain approximately 55km south west of Melbourne and 22km north east of Geelong, in Victoria, Australia. The main ridge runs roughly N-S for about 9 km, with a lower extension running for about 15 km to the west...
  
   ranges near Geelong, Victoria
  Geelong, Victoria
  Geelong is a port city located on Corio Bay and the Barwon River, in the state of Victoria, Australia, south-west of the state capital; Melbourne. It is the second most populated city in Victoria and the fifth most populated non-capital city in Australia...
  
  . He and three of his men climb to the highest point, naming it "Station Peak". It is later renamed Flinders Peak.

Deaths

• 2 June – Pemulwuy
  Pemulwuy
  Pemulwuy was an Aboriginal Australian man born around 1750 in the area of Botany Bay in New South Wales. He is noted for his resistance to the European settlement of Australia which began with the arrival of the First Fleet in 1788. He is believed to have been a member of the Bidjigal clan of...
  
   (b. circa 1750), Indigenous Australian resistance leader
• 12 June – Peter Good
  Peter Good
  Peter Good was the gardener assistant to botanist Robert Brown on the voyage of HMS Investigator under Matthew Flinders, during which the coast of Australia was charted, and various plants collected.-Biography:...
  
  , English gardener on Matthew Flinders' voyage