In 1998, Høgni Hoydal succeeded Heini O. Heinesen as party leader.

During the 20 January 2004 legislative elections, the party won 21.7% of the popular vote and eight out of 33 seats.

However, after the passing of an amendment adding the term "sexual orientation" to paragraph 266b of the Anti-Discrimination Act, MP Karsten Hansen announced that he was leaving the party owing to a difference in opinion.

At the elections on 19 January 2008, the party won 23.3% of the vote and eight out of 33 seats.

In the 2011 election, however, its votes declined and it lost its seat to the Social Democrats.