Sólveig Guðrún Pétursdóttir (born 11 March 1952) is a former speaker of the Althing, the Icelandic parliament, serving between 2005 and 2007. She has been a parliament member since 1991 for the Reykjavík Constituency (1991–2003, and from 2003 for the Reykjavík South Constituency. She is a member of the Sjálfstæðisflokkurinn, or Independence Party. Sólveig was Iceland's Minister of Justice and Ecclesiastical Affairs 1999–2003. She is a lawyer from the University of Iceland (1977).