Coston is a surname. Notable people with the surname include:
Anthony Coston, birth name of Lumumba Shakur (1942–1986); American activist Bernadette Coston (born 1989), South African field hockey player Frances Berry Coston (1876–1960), American journalist, educator, suffragist Jean Coston Maloney (1916–1968), American pianist, Frances Berry Coston's daughter Henry Coston (1910–2001), French journalist, writer and Nazi collaborator Jeff Coston (born 1955), American golfer Junius Coston (born 1983), American football player Martha Coston (1826–1904), American inventor and businesswoman
See also Costen