[4] At the 2004 general election on 20 January 2004, the party received 21.8% of the popular vote and therefore won 7 out of 33 seats in the Løgting.

[5] In the 2011 election for the Danish Folketing, the party improved its vote share to 21.0%, and took one of the two Faroese seats previously held by Republic.

The elected representative of the Social Democratic Party in the Folketing is Sjúrður Skaale, who received 1539 personal votes.

At the 2015 general election on 1 September 2015, the party received 25.1% of the vote, winning a plurality of 8 seats in the Løgting.

The party is officially neutral on the matter of independence from Denmark, but generally leans towards remaining in the union.