[3] She was a six time Úrvalsdeild Domestic All-First Team selection and was named the league's Player of the Year in 1990.
[4] She spent the vast majority of her career with Keflavík, outside of a few months in the fall of 1992 when she played for KR.
[5][6] Björg was born in Keflavík where she started playing basketball with the junior boys team at the age of around 10–11.
[7][5] She played her first senior team game on 10 October 1985 where she scored 7 point in a victory against KR.
[5] Following her retirement from playing, she served as an assistant coach to Anna María Sveinsdóttir for Keflavík during the 1997–1998 season, helping the team to the national championship and the Icelandic Cup.