Cukier is a Polish surname. Notable people with the surname include:

  • Aniela Cukier (1900–1944), Polish painter
  • Józef Cukier (1889–1960), Polish leader of the Goralenvolk during World War II
  • Kenneth Cukier (1968- ), American journalist and writer
  • Wolf Cukier, American high school student and NASA intern who discovered a new planet (now known as TOI 1338 b) in July 2019 at the age of 17