Bjornson, Bjørnson, Bjørnsen, Björnsson and variations can refer to the following people:
Icelanders
Ármann Smári Björnsson, Icelandic footballer (soccer player)
Björn Th. Björnsson, Icelandic writer
Georgia Björnsson (1884–1957), Danish-born wife of Sveinn Björnsson, first president of Iceland
Sveinn Björnsson, first president of Iceland
Sveinn Birkir Björnsson (born 1976), editor of The Reykjavík Grapevine
Norwegians
Bjørnstjerne Bjørnson, Norwegian writer and a 1903 Nobel Prize in Literature laureate
Bjørn Bjørnson, Norwegian stage actor and theatre director, son of Bjørnstjerne Bjørnson
Gudrød Bjørnsson, Norwegian politician in Middle Ages, grandfather of Saint Olaf
Ivar Bjørnson, Norwegian musician in Black Metal band Enslaved
Øyvind Bjørnson, (1950–2007) was a Norwegian historian
Swedes
Erik Björnsson, 9th century semi-legendary Swedish king
Johan Björnsson Printz, governor of New Sweden from 1643 to 1653
Olof (II) Björnsson, 10th century semi-legendary Swedish king
Other nationalities
David Bjornson, Canadian politician
Eric Bjornson (born 1971), American professional football tight end
Maria Björnson, French theatre stage designer
Oscar Bjornson, Canadian politician
Peter Bjornson, Canadian politician
Rosella Bjornson, Canadian airline pilot
Val Bjornson, American politician