Muir is a surname. Notable people with the surname include:

A Adam Muir (born 1971), Australian rugby league footballer Alan Muir (anatomist) (1925–1974), British anatomist Alan Muir (footballer) (1922–1996), Australian rules footballer Alan Muir (referee) (born 1975), Scottish football referee Alex Muir (1923–1995), Scottish footballer Alex Muir (Albion Rovers footballer), Scottish footballer Alexander Muir (1830–1906), Canadian songwriter, poet and school headmaster Amy Muir (born 2000), Scottish footballer Andrew Muir (chess player) (born 1958), Scottish chess player Andrew Muir (politician) (born 1976), Northern Irish politician

B Barry Muir (1937–2022), Australian rugby league footballer Bill Muir (born 1942), American football coach Bob Muir (footballer) (1907–1973), Australian rules footballer Bobby Muir (1876–1953), Scottish footballer Bryan Muir (born 1973), Canadian National Hockey League player

C Charles Henry Muir (1860–1933), U.S. Army officer Chris Muir (born 1958), American cartoonist Christopher Muir (1931–2022), Australian director and producer

D Daniel Muir (born 1983), American former National Football League player Daniel Muir (footballer), Scottish footballer of the 1920s and 1930s David Muir (disambiguation) Debbie Muir (born 1953), Canadian former synchronized swimmer and coach

E Edwin Muir (1887–1959), British poet, novelist and translator, husband of Willa Muir

F Florabel Muir (1889–1970), American journalist, writer, and newspaper columnist Francis Muir (born 1926), British geophysicist Frank Muir (1920–1998), British comedian Frederick Muir (1849–1921), Australian cricketer Frederick Arthur Godfrey Muir (1873–1931), British entomologist

G Gary Muir (born 1985), Scottish footballer

H Harry Muir (fl. 1960s–1980s), owner of Beck Book Company, forerunner of Wakefield Press in Adelaide, South Australia Helen Muir (1920–2005), British biochemist Helen Muir (reporter) (1911–2006), American reporter and author Hope Muir (born 1970/1971), Canadian dancer, rehearsal director and teacher

I Ian Muir (Scottish footballer) (1929–2009), Scottish footballer Ian Muir (English footballer) (born 1963), English footballer Ian Fraser Muir (1921–2008), English plastic surgeon

J Jamie Muir (1942–2025), Scottish painter and former percussionist Jamie Muir (politician) (born 1941), Canadian educator and politician Jean Muir (1928–1995), British fashion designer Jean Muir (actress) (1911–1996), American actress Jo Muir (born 1994), British modern pentathlete John Muir (disambiguation)

K Kado Muir, Aboriginal Australian artist and land rights advocate Karen Muir (1952–2013), South African swimmer Kenneth Muir (disambiguation) Kirsty Muir (born 2004), Scottish freestyle skier

L Laura Muir (born 1993), Scottish athlete Leilani Muir (1944–2016), Canadian plaintiff Lewis F. Muir (1883–1915), American composer Lindsay Muir (born 1956), Scottish footballer Lois Muir (born 1935), New Zealand sportswoman

M M. M. Pattison Muir (1848–1931), British chemist and author Malcolm Muir (publisher) (1885–1979), American magazine publisher Malcolm Muir (judge) (1914–2011), American judge Malcolm S. Muir (1930–1995), British epidemiologist Marjorie Muir Worthington (1900–1976), American writer Mary Muir (1881–1962), New Zealand nurse Maud Muir (born 2001), English rugby union player Mike Muir (born 1964), American singer

N Nat Muir (born 1958), Scottish athlete Nina Catherine Muir (1900–1981), New Zealand doctor Norrie Muir (1948–2019), British mountaineer

P Percy Muir (1894–1979), English antiquarian bookseller, book collector and bibliographer

R Renee LaMark Muir, American politician Richard David Muir (1857–1924), British prosecutor Ricky Muir (born 1980), Australian politician Robert Muir (disambiguation) Ross Muir (born 1995), Scottish snooker player Ruby Muir (born 1991), cross-country runner from New Zealand

T Tamsyn Muir (born 1985), novelist from New Zealand Thomas Muir (mathematician) (1844–1934), British mathematician Thomas Muir of Huntershill (1765–1799), Scottish political reformer

W Walter Muir (1905–1999), American correspondence chess player Walter Muir (soccer) (born 1953), Scottish footballer Ward Muir (1878–1927), English photographer Willa Muir (1890–1970), Scottish novelist, essayist and translator, wife of Edwin Muir William Muir (disambiguation)

Fictional characters Lucy Muir, in the 1947 film The Ghost and Mrs. Muir Carolyn Muir, in the subsequent TV series The Ghost & Mrs. Muir