Bore or Boré is a surname. Notable people with the surname include:
Albert Bore (born 1946), British nuclear physicist and politician
Etienne de Boré (1741–1820), first mayor of New Orleans
Eugène Boré (1809–1878), Roman Catholic missionary and linguist
Michael Bore (born 1947), English former cricketer
Peter Bore (born 1987), English footballer
Thor Bjarne Bore (born 1938), Norwegian newspaper editor and politician