Crabbe, Crabbé, or Crabb is a surname. Notable people with the surname include:
Allen Crabbe, American basketball player
Bruce Crabbe, American baseball player and manager
Buster Crabbe, American olympic gold medal swimmer and movie serials actor
Callix Crabbe, American baseball player
Douglas Crabbe, Australian mass murderer
George Crabbe, British poet and naturalist
John Crabbe, Flemish merchant, pirate and soldier
John Crabbe, English soccer player
Emmanuel Crabbé, IBM Fellow
Frans Crabbe van Espleghem, Flemish artist, (1480-1553)
Allan Crabb, Australian Rules Football player
Annabel Crabb, Australian journalist and author
Jason Crabb, American musician
Jeremiah Crabb, American Revolutionary War general during the Whiskey Rebellion
Lionel Crabb, Royal Navy frogman
Roy Crabb, American baseball player
Steve Crabb, Australian politician
Steve Crabb (athlete), British former middle-distance runner
Fictional characters:
Franklin Crabbe, character in the novel Crabbe by William E. Bell
Henry Crabbe, lead character in the British TV series Pie in the Sky
Nicholas Crabbe, character in an eponymous novel by Frederick Rolfe
Vincent Crabbe, character in the Harry Potter series