Eliasson or Elíasson is a surname. Notable people with the surname include:
Ásgeir Elíasson (1949–2007), football manager and coach of the Iceland national football teamAnders Eliasson (1947–2013), Swedish composerDan Eliasson (born 1961), Swedish National Police CommissionerEmma Eliasson (born 1989), ice hockey playerGyrðir Elíasson (born 1964), leading author in IcelandHåkan Eliasson (born 1952), Swedish mathematicianJan Eliasson (born 1940), Swedish diplomat and Social Democratic politicianLars Eliasson (1914–2002), Swedish politicianLena Eliasson (born 1981), Swedish orienteering and ski-orienteering competitorMarthe Eliasson (born 1969), Norwegian team handball player and Olympic medalistMattias Eliasson (born 1975), Swedish professional golferNökkvi Elíasson (born 1966), Icelandic photographerOlafur Eliasson (born 1967), Danish-Icelandic artist known for sculptures and large-scale installation artSigurlaugur Elíasson (born 1957), Icelandic artist and poet