Eli n. Kristja nsdo ttir has written:

'Some Icelandic recipes'

Yes, Iceland currently has a gay prime minister. Jóhanna Sigurðardóttir.

Jóhanna Sigurðardóttir, the Prime Minister of Iceland is the first openly gay head of government in modern times.

Yes, the Prime Minister of Iceland, Jóhanna Sigurðardóttir, is openly gay.

Jóhanna was originally married to Steinar Jóhannesson in 1970 and had 2 children, before becoming divorced. In 2002, she entered into a civil union with Jónína Leósdóttir. The two converted their civil union into a marriage in 2010 when gay marriage was legalized in Iceland.

As of 2014, there has never been an openly gay president, but Jóhanna Sigurðardóttir of Iceland is the world's first openly gay prime minister.