History

The clubs men's ice hockey team played in the Icelandic Men's Hockey League from the 1991–92 season until 2018. It won the national championship in 2012 after beating Skautafélag Reykjavíkur 3–1 in the best-of-five finals series.

In the early 1990s, Björninn was the first team to invite American service members from nearby NAS Keflavik to play on their team. 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. The team shared practice time with Björninn and played several teams in the Icelandic League in exhibitions.