Hordur Bjorgvin Magnusson is an Icelandic footballer who currently plays as a defender for Championship side Bristol City.

Hordur began his career within the youth academy of Knattspyrnufelagid Fram in 1998. He remained within the youth academy until 2010, although he managed to appear in 6 first–team matches between the 2009 and 2010 campaigns, with his debut coming in a 3–1 away defeat to KR on 30 August 2009.He remained with his local team until 2011, when he was transferred to Italian and European giants, Juventus. After spending the 2011–12 and 2012–13 seasons with the Primavera (under-20) team, Hordur was promoted to the first–team squad ahead of the 2013–14 Serie A campaign. In June 2014 Juventus bought back the 50% share of the player's contract that they had sold to Spezia one year earlier, and immediately loaned Hordur out to Serie A outfit A.C. Cesena on 23 July 2014. On 13 July 2016, it was announced that Hörður had signed for Championship side Bristol City for an undisclosed fee, penning a three-year deal.