Lindau is a surname. Notable people with the surname include:
Arvid Lindau (1892–1958), Swedish pathologist Baruch Lindau (1759–1849), German-Jewish writer Bill Lindau (1903–1989), American race car driver Gustav Lindau (1866–1923), German botanist Ingolf Lindau (born 1942), Swedish physicist James H. Lindau, American politician, mayor of Bloomington, Minnesota, from 1977 to 1987 Karl Lindau, pen and stage name of Karl Gemperle (1853–1934), Austrian actor, writer and librettist Märta Boman (1902–1986), née Lindau, Swedish politician Paul Lindau (1839–1919), German writer, brother of the writer Rudolf Lindau Peter Lindau (born 1972), Swedish footballer Peeter Lindau (1886–?), Estonian politician Rudolf Lindau (diplomat) (1829–1910), German writer Rudolf Lindau (politician) (1888–1977), German politician and historian