Hudspeth is a surname. Notable people with the surname include:
Adam Hudspeth (1836–1890), Canadian lawyer and politicianCharles Hudspeth (activist) (1918–1999), civil rights leader from San Antonio, TexasCharles Hudspeth (convict), American man convicted of murder in Marion County, Arkansas in 1887Claude Benton Hudspeth (1877–1941), American rancher, lawyer, and statesman from El Paso, TexasFrank Hudspeth (1890–1963), English footballer, who most notably played for Newcastle UnitedHarry Lee Hudspeth (born 1935), United States federal judgeMark Hudspeth (born 1968), current head football coach at the University of Louisiana at LafayetteTommy Hudspeth, football coach at both the collegiate and professional levelsThomas Hudspeth, electrical engineer who worked on the first communication satellites, Syncom