Stagg is a surname. Notable people with the surname include:
Amos Alonzo Stagg (1862–1965), American collegiate coach in multiple sports, primarily football
Amos Alonzo Stagg, Jr. (1899–1996), American football player and football and basketball coach
Barry Stagg (born 1944), Canadian musician, composer and play writer
Colin Stagg, the man wrongly imprisoned in the Rachel Nickell murder case (1992)
David Stagg (born 1983), Australian rugby league player
Emmet Stagg (born 1944), Irish Labour Party politician
Frank Noel Stagg (1884–1956), Royal Navy officer, expert on Norway, author and historian
Frank Stagg (theologian) (1911–2001), American Southern Baptist seminary professor, author, and pastor
Frank Stagg (1942–1976), member of the Provisional IRA, convicted in 1973 in Britain of conspiracy to commit arson
Sir James Stagg (1900–1975), Royal Air Force meteorologist who persuaded General Dwight D. Eisenhower to change the date of the Allied invasion of Europe
Jesse Stagg (born 1970), American creative director and producer
John Stagg (poet) (1770–1823), English poet
Lindsey Stagg (born 1970), English former child actor
Paul Stagg (1909–1992), American football player, coach, and college athletics administrator
Peter Stagg (born 1941), Scottish rugby union player
Sir Richard Stagg (born 1955), British ambassador
Tom Stagg (born 1923), U.S. district judge in the Western District of Louisiana
C. Tracey Stagg (1878–1939), New York state senator