Qvarnström or Quarnström (literally 'mill stream') is a Swedish surname. Notable people with the surname include:

Ann-Sophie Qvarnström (born 1958), Swedish illustrator and silversmith Carl Gustaf Qvarnström (1810–1867), Swedish sculptor and painter Lee Quarnstrom (1939/1940–2021), American journalist Titti Qvarnström (born 1979), Swedish chef

See also Kvarnström