After being promoted to the 1. deild (now called Effodeildin) in 1980, they won the league 3 times: in 1984, 1985, and 1992. In 2004 they were relegated. 2005 saw them bounce back to the top flight, coming first in the second division, but they were again relegated from the Premier Division at end of the 2006 season. In 2007 they easily won the second division, and were promoted.
In the 2008 season theycame 6th out of 10 in the Premier League. In the 2009 season, they finished in 4th place. In 2010 they finished as number 7 in Effodeildin, and in 2011 they finished as number 6.
In 2012, B68 Toftir ended as number 9 in Effodeildin and were relegated: they only needed to score one more goal against TB Tvøroyri in the final round to stay up. They won the match 4–1, but it was not enough. They played in 1. deild in 2013.
B68 vs. TB Tvøroyri in the final round of Effodeildin. Both teams struggled in order not to get relegated. B68 won the match 4–1, but it was not enough, the needed to win with 4 goals. This photo is from the one of the final minutes, where even the goal keeper of B68 is trying to make a goal.