Worldwide Guide to Women in Leadership
Heads of State of Iceland/ Lyðvelelið Ísland (Limited female Suffrage at local elections 1882 which became unrestricted 1908 and suffrage for the Alþing 1915) 1918-1944 Internal Self Government in Personal Union with Denmark and the Danish King, declared its independence 1944

Also see Iceland Ministers

If the Office of President of the Republic becomes vacant or if the President is unable to perform his duties due to a stay abroad, illness, or other reasons, the Prime Minister, the President of Althingi and the President of the Supreme Court shall exercise presidential authority. The President of Althingi shall preside at their meetings. In a divergence of opinion among them, the majority shall prevail. The President's term of office begins on the 1st of August and ends on the 31st of July four years later, and the Vice-Presidency acts during the vacancy from 31.07 until 01.08. They are known as "The executives of presidential authority" while in office.

1980-96 President Vigdis Finnbogadóttir (1.8.-30.7)
In 1972-80 Director of Iceland’s National Theater was the world’s first democratically elected female President. She was a divorcee as she adopted a daughter. (b.1930-)

1988-91 Member of the Vice-presidency, President of the Sameinað Alþing Guðrún Helgádóttir
In 1987-88, 1992-95 Vice-President of the Alþing, from 1998 President of the United Alliance Party. As President of the United Alþing she was member of the Vice-presidency of the Country. (b. 1930-)

1991-92 and 2003-05 Member of the Vice-presidency, President of the High Court Guðrún Erlendsdóttir
She was the only female High Court judge from 1986 and vas Vice-President 1989-91 and 2000-03. The presidency rotates among the judges. (b. 1936-)

1991-95 Member of the Vice-presidency, President of the Alþing Sálome Þorleiksdóttir
In 1987-88 Vice-President of the Efri Deild (Upper House), 1988-91 Vice-President for the Sameinað Alþing. The Alþing became an unicameral legislature in 1991. (b. 1935-)

2005-07 Member of the Vice-presidency, President of the Alþing Sólveig Pétursdóttir
Minister of Justice and Church Affairs 1999-2003. Vice-Chairperson of the Alþing and Chairperson of the Foreign Affairs Committee 2003-05. (b. 1954-).