Crenshaw is a surname. Notable people with the surname include:
- Ander Crenshaw (born 1944), American politician
- Anderson Crenshaw (1783–1847), American jurist
- Ben Crenshaw (born 1952), American professional golfer
- Caroline A. Crenshaw, American lawyer
- Claude J. Crenshaw, American Air Force officer and flying ace
- Dan Crenshaw (born 1984), American politician
- Dave Crenshaw (born 1975), American author
- George L. Crenshaw (1855–1937), American real estate developer and banker
- George Webster Crenshaw (1913–2007), cartoonist and creator of the comic strip Belvedere
- James L. Crenshaw, American biblical professor
- Jesse Crenshaw (born 1946), American politician
- John Crenshaw (1797–1871), American landowner and slave trader
- John Bascom Crenshaw (1861–1942), American athlete
- John T. Crenshaw (1820–1863), American soldier
- Jonathan Crenshaw (1972–2023), American artist and homeless man
- Kimberlé Crenshaw (born 1959), American lawyer
- Leon Crenshaw (1943–2008), American football player
- Marshall Crenshaw (born 1953), American singer, songwriter and guitarist
- Martha Crenshaw (born 1945), American professor
- Marvin Crenshaw (born 1952), American football player
- Mary Mayo Crenshaw (1875-1951), American writer
- Matt Crenshaw (born 1978), American basketball player and coach
- Mic Crenshaw (born 1970), American recording artist
- Robert Crenshaw, American drummer
- Roberta Crenshaw (1914–2005), American philanthropist
- Waverly D. Crenshaw Jr. (born 1956), American judge
- Willis Crenshaw (born 1941), American football player
Fictional characters:
- Peter Crenshaw, a character from the Three Investigators juvenile detective book series
- David Crenshaw, player character of Tom Clancy's H.A.W.X
- Mindy Crenshaw, fictional character on the American sitcom Drake & Josh