Reissig is a German surname. Notable people with the surname include:
Bertold Reissig (1877–1960), German stage and film actor Christian Ludwig Reissig (1784–1847), German romantic poet Hans-Ulrich Reissig (born 9 May 1949), German chemist Julio Herrera y Reissig (1875–1910), Uruguayan poet and essayist Nicolas Reissig (born 1989), Austrian tennis player