Career
He began his career with ÍA in his native Iceland before a three-year spell at Norwegian side Lillestrøm, during which time he made his international debut. In July 2012 he moved to Wolves for a reported £2.4m fee. ÍA
Björn made his debut for his hometown club ÍA in the 2007 Úrvalsdeild.
He was mostly employed as a substitute in his first season, but became a regular first team player during the next season.
However, ÍA suffered relegation to the second level He did not remain at ÍA after their relegation though, and instead signed a three-year contract with Norwegian club Lillestrøm Saskatchewan in January 2009.
Lillestrøm
After making his club debut on 22 March 2009 against Viking, Björn"s first season in the Tippeliga was troubled by numerous lower back injuries. He did manage to make 12 appearances, scoring once (against Bodø/Glimt on 20 September).
In the 2010 season he became regular player for the club, a position he has held ever since.
In Autumn 2011 his contract was extended further to run until 2014, though this news was not made public. In the 2012 season Björn scored seven times in the 11 first league games, as well as four goals in two cup ties. Wolverhampton Wanderers
On 18 June 2012, Björn"s club officially announced that they had accepted an undisclosed bid for him from English side Wolverhampton Wanderers, believed to be in the region of £2.4 million.
After passing to a medical and agreeing to personal terms for a four-year contract, the deal was finalised on 17 July 2012.
The Icelandic striker made his Wolves debut as a substitute in an opening day defeat at Leeds United. In the 2013-2014 season, under his third different manager during his time at Wolves, Björn failed to hold down a regular place in Wolves" team and on 31 January 2014 he was loaned to Norwegian side Molde for the remainder of 2014 in order to complete the Norwegian league season.
Björn has represented Iceland at numerous youth levels, most recently playing for their Under-21 team in the qualifying competition for the 2013 European Under-21 Championship. He played two matches in the 2011 European Under-21 Championship Finals in Denmark.
Björn has three half-brothers, Bjarni Guðjónsson, Þórður Guðjónsson, and Joey Guðjónsson, who have all been professional football players as well as playing for the Icelandic national team
Joey also played for Wolves.