Flinck is a surname. Notable people with the surname include:
Govert Flinck (1615–1660), Dutch painter Markku Flinck (born 1985), Finnish ice hockey player Thorsten Flinck (born 1961), Swedish actor, director, and musician Anni Flinck (1915–1990), Finnish politician Miro Flinck (born 1998), Finnish cell and molecular biology
See also Finck