It has run candidates in the 1987 and 1999 parliamentary elections, but has never achieved representation.

It is related to the International Humanist Party.

They successfully applied for the list letter H to contest the 2013 Icelandic parliamentary election, and subsequently submitted an official candidate list on 12 April 2013.

[3] The party ran candidates in the 1987 and 1999 parliamentary elections.

They also stood candidates for the Reykjavík City Council in 1986, 1990, 1998, and 2002.