Brunn is a German surname. Notable people with the surname include:
Anke Brunn (born 1942), German economist and politician (SPD). Christian Valentin Brunn (born 1994), German DJ Francis Brunn (1922–2004), German juggler George Le Brunn (1863–1905), British songwriter Gustav Brunn, German immigrant to the United States, developer of the Old Bay Seasoning blend Heinrich Brunn (1822–1894), German archaeologist Hermann Brunn (1862–1939), German mathematician James von Brunn (1920–2010), American murderer