Robert Brewster may refer to:

Robert Brewster (American football) (born 1986), American football player Robert Brewster (cricketer) (1867–1962), Australian cricketer Robert Brewster (Roundhead) (1599–1663), English politician Robert C. Brewster (1921–2009), American ambassador Lieutenant General Robert Brewster, fictional character in Terminator 3: Rise of the Machines

See also Robert Brewster Stanton (1846–1922), American engineer Robert Brewer (American football), active 1981–1982