Brumby is a surname. Notable people with the surname include:

Beatrice Brumby (1914–2012), Australian pioneer Colin Brumby (1933–2018), Australian composer and conductor Christine Brumby (born 1965), Aboriginal Australian artist born in Areyonga, Northern Territory Frank H. Brumby (1874–1950), American admiral Glen Brumby (born 1960), Australian squash player John Brumby (born 1953), Australian politician, premier of Victoria 2007–10 Monique Brumby (born 1974), Australian musician Sandy Brumby (born ), Aboriginal Australian artist