Bruning or Brüning is a surname. Notable people with the surname include:
Elfriede Brüning (1910-2014), German journalist and novelist
Heinrich Brüning (1885-1970), German chancellor of the Weimar Republic
Jon Bruning, American politician
Michael Brüning, American beach volleyball player
Monika Brüning, German politician
Peter Brüning, German artist
Robert Bruning, Australian actor
Walter Brüning, German major during World War II
Hans Heinrich Brüning Brookstedt, Peruvian archaeologist