It won the national championship in 2012 after beating Skautafélag Reykjavíkur 3–1 in the best-of-five finals series.
[5] At the time, each team in the Icelandic League was allowed to put a maximum of 3 non-Icelandic players on their rosters.
In 1994, Petty Officer Steve Mitchell, who also played for Björninn, started the first American military team in Iceland, the NATO North Stars.
Note: GP = Games played, W = Wins, OTW = Overtime Wins, OTL = Overtime Losses, L = Losses, GF = Goals for, GA = Goals against, Pts = Points This table includes results from the last five years only.
Björninn first fielded a men's football team during the 2010 season in the Icelandic Cup[7] and the 3. deild karla[8] where it served as a feeder club for Ungmennafélagið Fjölnir.