Flügge, Flugge or Flüggé is a surname. Notable people with the surname include:
Carl Flügge (1847–1923), German bacteriologist Johannes Flüggé (1775–1816), German botanist and physician Klaus Flugge (born 1934), German-born British publisher Sibylla Flügge (born 1950), German lawyer Siegfried Flügge (1912–1997), German physicist Wilhelm Flügge (1904–1990), German engineer Irmgard Flügge-Lotz (1903–1974), German mathematician