Lücke, Luecke, or Lucke, is a surname. Notable people with the surname include:
Bernd Lucke (born 1962), German economist and politician (AfD)Georg Albert Lücke (1829–1894), German surgeonGottfried Christian Friedrich Lücke (1791–1855), German theologianHannfried Lucke (born 1964), German organistHeinz Lucke (born 1953), West German canoerJohn Edwin Luecke, American mathematicianJohn F. Luecke (1889–1952), American politician from MichiganJörg Lucke (born 1942), East German rowerPaul Lücke (1914–1976), German politician (CDU)Steve Luecke, American politician from Indiana