Baston is a surname. Notable people with the surname include:
Bert Baston (1894–1979), footballer Caroline Baston (born 1956), former Archdeacon of the Isle of Wight Daniel Baston (born 1973), footballer Guillaume-André-Réné Baston (1741–1825), theologian John Baston (1708–1739), Baroque composer Josquin Baston (c. 1515 – c. 1576), Dutch composer Maceo Baston (born 1976), basketballer Philip Baston (died c. 1320), cleric Robert Baston (fl. 1300), Carmelite friar Vin Baston (1919–1963), sportsperson Borja González, known as Borja Bastón (born 1992), Spanish footballer