Melbourne / ˈ m ɛ l b ər n / is a city in Brevard County, Florida, United States.As of the 2010 census, the population was 76,068. The municipality is the second-largest in the county by both size and population. Melbourne is a principal city of the Palm Bay – Melbourne – Titusville, Florida Metropolitan Statistical Area.In 1969 the city was expanded by merging with nearby Eau Gallie.