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