Alvord is a surname. Notable people with the surname include:
Austin D. Alvord (born April 1843), American politician
Benjamin Alvord (mathematician) (1813–1884), American soldier, mathematician, and botanist
Benjamin Alvord, Jr. (1860–1927), son of the above, American soldier, U.S. general during World War I
Billy Alvord (1863–1927), American baseball player
Burt Alvord, an Arizona marshal and later outlaw
Henry Elijah Alvord (1844–1904), American university administrator and educator
James C. Alvord (1808–1839), U.S. Representative from Massachusetts
Lori Alvord (born 1958), American doctor
Thomas G. Alvord (1810–1897), American lawyer, merchant and politician
Tiffany Alvord, singer/songwriter and YouTube celebrity
William Alvord (1833–1904) American merchant, banker and political leader