Flinsch is a surname of German origin. Notable individuals with the surname include:
(1834–1912), German paper manufacturer Erich Flinsch (1905–1990), German pianist (1792–1849), German paper manufacturer and older brother of Heinrich (1802–1865), German paper manufacturer and father of Alexander (born 1834) (1839–1921), German paper manufacturer and son of the above Margaret Flinsch, maiden name of Joy Buba (1904–1998), American sculptor Peter Flinsch (1920–2010), German-Canadian artist Walter Flinsch (1903–1943), German rower and WWII pilot (1884–1986), German expressionist painter