Curly or Curley is a surname, given name, nickname or stage name. It may refer to:

August Curley (born 1960), American football player
Carlo Curley (1952–2012), American concert organist
Edward W. Curley (1873–1940), U.S. Representative from New York
James Curley (astronomer) (1796–1889), Irish-American astronomer
James Curley (Australian politician) (1846–1913)
James Michael Curley (1874–1958), Governor and U.S. Representative from Massachusetts and mayor of Boston
Michael Joseph Curley (1879–1947), Catholic Archbishop of Baltimore and Washington
Michael Curley (footballer) (1912–1973), English footballer
Patricia S. Curley (born 1946), American jurist
Robert M. Curley (1922–2001), American jurist and legislator
Thomas Curley (disambiguation), several people
Crazy Horse (1840–1877), Oglala Sioux war chief nicknamed "Curly"
Curly (scout) (c. 1856–1923), one of General Custer's Crow Indian scouts at the Battle of Little Big Horn
Curly Armstrong (1918-1983), American basketball player
William Brocius (c. 1845-1882), American Old West gunman, rustler and outlaw better known as "Curly Bill" Brocius
Curly Brown (1888-1968), American Major League Baseball pitcher
Curley Byrd (1889–1970), American sports coach and university administrator
Curly Chalker (1931-1998), American country and jazz musician
Curly Ray Cline (1923-1997), American bluegrass fiddler
George Andrew Davis, Jr. (1920-1952), American World War II and Korean War flying ace
Curly Fox (1910-1995), American county music singer and musician
Curly Hammond (1879–1963), English rugby union
Curly Howard (1903–1952), stage name of comic actor Jerome Lester Horwitz, one of the Three Stooges
Curly Howard (DJ) (c. 1930–2001), on-air name of American disc jockey Howard Sisk
Curley Johnson (born 1935), American Football League and National Football League punter
Curly Lambeau (1898-1965), founder, player and first coach of the Green Bay Packers National Football League team
Gordon 'Curly' Mack, Irish badminton player of the 1920s and '30s
Fred "Curly" Morrison (born 1926), American National Football League player
Curly Neal (born 1942), American basketball player, member of the Harlem Globetrotters
Curly Oden (1899-1978), American National Football League player
Curly Ogden (1901-1964), American Major League Baseball pitcher
Curly Page (1902-1987), New Zealand cricketer
Curly Putman (born 1930), American songwriter
Curley Russell (1917-1986), American jazz double-bassist
Curly Seckler (born 1919), American bluegrass musician
Curly Thirlwell (1905-1985), American sound engineer nominated for two Academy Awards
"Curly M.C.", a pseudonym of musician Michael Cretu
Curly McLain, in the musical Oklahoma!
Curly Washburn, in the movies City Slickers and City Slickers II: The Legend of Curly's Gold
"Curley", a character in the Bluey and Curley comic strip drawn by Alex Gurney
Norman Curly Watts, in the British TV drama Coronation Street
Marshal Curly Wilcox, in the movie Stagecoach
Curley, in John Steinbeck's 1937 novel Of Mice and Men
Curly, in the British comic strip Dennis the Menace and Gnasher
Curly, a Lost Boy in Peter Pan
"Curly" or "Little Curly", a nickname of Laika, the first dog in space
Curly Horse, a curly-coated breed of horse
Curly, the name of the first LaPerm cat