Map of Melbourne, VIC 3000

Melbourne ( MEL-bərn, locally [ˈmæɫbən] ; Boonwurrung/Woiwurrung: Narrm or Naarm) is the capital and most populous city of the Australian state of Victoria, and the second-most populous city in Australia, after Sydney. Its name generally refers to a 9,993 km2 (3,858 sq mi) metropolitan area also known as Greater Melbourne, comprising an urban agglomeration of 31 local municipalities, although the name is also used specifically for the local municipality of City of Melbourne based around its central business area. The metropolis occupies much of the northern and eastern coastlines of Port Phillip Bay and spreads into the Mornington Peninsula, part of West Gippsland, as well as the hinterlands towards the Yarra Valley, the Dandenong Ranges, and the Macedon Ranges. As of 2023, the population of the metropolitan area was 5.2 million (19% of the population of Australia); inhabitants are referred to as "Melburnians".

The area of Melbourne has been home to Aboriginal Victorians for over 40,000 years and serves as an important meeting place for local Kulin nation clans. Of the five peoples of the Kulin nation, the traditional custodians of the land encompassing Melbourne are the Boonwurrung, Woiwurrung and the Wurundjeri peoples. In 1803, a short-lived British penal settlement was established at Port Phillip, then part of the Colony of New South Wales. Melbourne was founded in 1835 with the arrival of free settlers from Van Diemen's Land (modern-day Tasmania). It was incorporated as a Crown settlement in 1837, and named after the then-Prime Minister of the United Kingdom, William Lamb, 2nd Viscount Melbourne. Declared a city by Queen Victoria in 1847, it became the capital of the newly separated Colony of Victoria in 1851.