Eicke is a German surname. Notable people with the surname include:
Edna Eicke (1919–1979), American magazine illustrator Hans Eicke (1884–1947), German Olympic athlete Roberta Eike, American oceanographer and marine geologist Theodor Eicke (1892–1943), German Nazi SS general and Holocaust perpetrator Ulrich Eicke (born 1952), German canoer Wels Eicke (1893–1980), Australian footballer
See also Kampfgruppe Eicke, name of the 3rd SS Division Totenkopf (prior to achieving division status), named after Theodor Eicke