Ammons is a surname. Notable people with the surname include:
Albert Ammons (1907–1949), American jazz pianist A.R. Ammons (1926–2001), American author and poet Cliff Ammons (1918–1981), Louisiana state representative Donalda Ammons (born 1953), American educator and writer Doug Ammons (born 1957), American adventurer, kayaker, psychologist, and author Elizabeth Ammons, American literary scholar Gene Ammons (1925–1974), American jazz saxophonist Elias M. Ammons (1860–1925), Governor of Colorado Jane Ammons (born 1953), American industrial engineer Robert B. Ammons (1920–1999), American psychologist