Iceland participated in the Eurovision Song Contest 2005 with the song "If I Had Your Love" written by Þorvaldur Bjarni Þorvaldsson, Vignir Snær Vigfússon, Linda Thompson and Selma Björnsdóttir. The song was performed by Selma, which is the artistic name of singer Selma Björnsdóttir who was internally selected by the Icelandic broadcaster Ríkisútvarpið (RÚV) in February 2005 to represent Iceland at the 2005 contest in Kyiv, Ukraine. Selma previously represented Iceland in the Eurovision Song Contest in 1999 where she placed second in the competition with the song "All Out of Luck". The Icelandic song, "If I Had Your Love", was presented to the public on 19 March 2005 during the television programme Laugardagskvöld með Gísla Marteini.

The Eurovision Song Contest 2005 was the 50th edition of the Eurovision Song Contest. It took place in Kyiv, Ukraine, following the country's victory at the 2004 contest with the song "Wild Dances" by Ruslana. Organised by the European Broadcasting Union (EBU) and host broadcaster National Television Company of Ukraine (NTU), the contest was held at the Palace of Sports, and consisted of a semi-final on 19 May, and a final on 21 May 2005. The two live shows were presented by Ukrainian television presenters Maria Efrosinina and Pavlo Shylko.