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

• Adam Armour (born 2002), American soccer player
• Andrew Watson Armour III (1908–1991), Armour and Company president, relative of Philip Danforth Armour
• Andy Armour (1883–1955), Scottish footballer
• Anthony Armour (born 1982), Australian rugby player
• Aviva Armour-Ostroff, Canadian actress, writer and filmmaker
• Bill Armour (1869-1922), American baseball player and manager
• Buddy Armour (1915-1974), American baseball player
• Carlos Armour (born 1986), American gridiron football player
• David Armour (born 1954), Australian rules footballer
• Davie Armour (1953-2004), Scottish football player
• Edward Armour Peck
• G. Armour Craig
• George Armour (1812–1881), Scottish American businessman and philanthropist
• George Denholm Armour (1864–1949), Scottish painter and illustrator
• Hazel Armour (1894-1985),Scottish sculptor and medalist
• Heda Armour (1914-1996), British painter and etcher
• Herman Armour Webster American etcher water colorist
• Herman Ossian Armour (1837–1901), co-founder of Armour and Company
• J. Ogden Armour (1863-1927), American meatpacking magnate
• James Armour Johnstone
• James Armour (1841-1928), Irish Presbyterian minister and political activist
• James Armour (1731-1798), Master mason
• Jean Armour Polly
• Jean Armour (1765–1834), known as the "Belle of Mauchline" wife of the Scottish poet, Robert Burns.
• Jenner Armour (1932-2001), Dominican politician and former president
• Jennifer Armour (born 1985), American actress
• Jesse Armour Crandall (1834-1920),
• JoJuan Armour (born 1976), American gridiron football player
• Jody Armour
• John Armour (born 1971), British legal scholar
• John Douglas Armour (1830-1903), Canadian judge
• Johnny Armour (born 1968), English boxer
• Julian Armour (born 1960), Canadian cellist and artistic director
• Justin Armour (born 1973), American football player
• Leslie Armour (1931-2004), was a Canadian-born philosopher and writer on social economics
• Lester Armour III
• Margaret Armour (1860–1943), Scottish poet and translator
• Marion Armour, Scottish female curler
• Mary Nicol Neill Armour (1902-2000), British artist
• Matthew Armour (1820-1903), was a radical Free Church of Scotland minister on the island of Sanday, Orkney
• Neil Armour (born 1967), Scottish football player
• Norman Armour (1887-1982), American diplomat
• Philip Danforth Armour (1832–1901), meatpacker and businessman, founder of Armour and Company
• Rebecca Agatha Armour (1845-1891), Canadian teacher and novelist
• Richard Armour (1906–1989), American author and poet
• Robert Armour (1781-1857), Canadian businessman, militia officer, and office holder
• Robert W. Armour (born 1986), American actor and entertainer
• Roger Armour (1934-2020), British vascular surgeon and inventor
• Ronald Armour (1940-2017), Dominican politician
• Ryan Armour (born 1976), American golfer
• Sid Armour, Canadian make-up artist
• Stanley Armour Dunham (1918-1992), Maternal grandfather of Barack Obama And JJ Green
• Thomas Armour (1890-1963), was a bishop in the Anglican Church of Australia
• Tommy Armour III (born 1959), American golfer
• Tommy Armour (1896-1968), American golfer
• Vernice Armour (born 1973), United States Marine Corps pilot
• Wal Armour (1921-1995), Australian rules footballer
• William Allan Armour (1880-1967), New Zealand school principal and educationalist