Brannon is both a surname and a given name. Notable people with the name include:
Ann Brannon (born 1958), British fencer
Ash Brannon (born 1969), American animator, writer and director
Barbara Brannon, major general in the United States Air Force
Brittany Dawn Brannon (born 1988), American actress, TV host, model and beauty pageant titleholder
Buster Brannon (1908–1979), American football and basketball player and coach
Chad Brannon (born 1979), American actor
Charles E. Brannon (1919–1942), United States Naval Aviator during World War II
Cheney Brannon (born 1973), American rock drummer
Doug Brannon (born 1961), American politician from South Carolina
Earl W. Brannon (1889–1952), American football coach
Frank Brannon (born 1965), American book and paper artist
Fred C. Brannon (1901–1953), American film director of the 1940s and 1950s
Greg Brannon (born 1960), American physician and political activist
Harry Brannon (1920–1991), American popular singer
John Brannon (born 1961), American hardcore punk vocalist
Kippi Brannon (born 1966), American country music singer
Matthew Brannon (born 1971), American artist
Max Brannon (born 1933), American politician from Georgia
Philip Brannon (1817-1890), British artist, engraver, writer, printer, architect and civil engineer
Teddy Brannon (1916–1989), American jazz and blues pianist
Brannon Braga (born 1965), American television producer, director and screenwriter
Brannon Condren (born 1983), American football safety
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