Barnston is a surname, and may refer to:
Harry Barnston (1870–1929), British Conservative politician Henry Barnston (1868–1949), English-American rabbi George Barnston (c.1800–1883), Scottish fur trader and naturalist James Barnston (1831–1858), Canadian physician John Barnston (died 1645), English divine John George Barnston (c.1838–1883), lawyer and political figure in British Columbia