Branson is a surname. Notable people with the surname include:
Brad Branson (born 1958), retired American professional basketball player
Catherine Branson, Australian human rights commissioner
Clive Branson (1907–44), British artist and poet
David Branson (1963–2001), Australian theatre director
Don Branson (1920–66), American racecar driver
Edward Branson, an American geologist and paleontologist
Frederick Woodward Branson (1851-1933), British chemist, glassblower, instrument maker and X-ray pioneer
G. A. H. Branson (1871–1951), judge of the High Court of England and Wales
George Branson (1918–99), Australian politician
Herman Branson (1914–95), African-American physicist
Jeff Branson (born 1977), American actor
Jeff Branson (baseball player) (born 1967), former American Major League baseball player
Jesse Branson (born 1942), retired American basketball player
Noreen Branson (1910–2003), British Communist activist
Richard Branson (born 1950), British entrepreneur
Tony Branson (born 1947), Australian rugby league footballer
William Henry Branson (1887–1961), American Seventh-day Adventist