Backman (also Bäckman) is a surname. Notable people with the surname include:
Asta Backman (1917–2010), Finnish film, television and theatre actress
Christian Bäckman (born 1980), Swedish ice hockey player
Derek Backman (born 1966), American soccer midfielder
Eric Backman (1896–1965), Swedish athlete
Gunilla Backman (born 1965), Swedish singer, actress and musical artist
Hans Backman (born 1963), Swedish politician
Ingemar Backman (born 1976), Swedish snowboarder
Jani Bäckman (born 1988), Finnish football player
Johan Bäckman (born 1971), Finnish political author, legal sociologist and criminologist
Karl Backman (born 1970), Swedish artist and musician.
Kennard Backman (born 1993), American football tight end
Kjell Bäckman (born 1934), Swedish speed skater
Lars Bäckman (born 1945), Swedish chef
Linnea Bäckman (born 1991), Swedish ice hockey defender
Mattias Bäckman (born 1992), Swedish ice hockey defenceman
Mike Backman (born 1955), Canadian ice hockey player
Niklas Backman (born 1988), Swedish footballer
Paul Backman (1920–1995), Finnish cyclist
Per Bäckman (born 1950), retired Swedish ice hockey player
Py Bäckman (born 1948), Swedish musician
Robert L. Backman (born 1922), American lawyer and politician
Sarah Bäckman (born 1991), Swedish real estate broker, professional wrestler and arm wrestler
Sean Backman (born 1986), American ice hockey player
Tomas Backman (born 1980), Swedish footballer
Wally Backman (born 1959), American baseball player and manager
Þuríður Backman (born 8 January 1948) Icelandic member of the Althing