Almgren is a surname of Swedish origin. Notable people with the surname include:
Carl Eric Almgren (1913–2001), Swedish general and the army chief from 1969 to 1976
Erik Almgren (1908–1989), Swedish footballer and football manager
Frederick J. Almgren, Jr. (1933– 1997), American mathematician
Jim Almgren Gândara, Swedish singer and guitar player
Johanna Almgren, Swedish female footballer
Oscar Almgren (1869–1945), Swedish archaeologist specializing in prehistoric archaeology