The Current Constitution of Iceland in Icelandic:
https://www.althingi.is/lagas/nuna/1944033.html

English translation of the Current Constitution:
https://www.stjornarradid.is/lisalib/getfile.aspx?itemid=28451b49-04e2-11e8-9423-005056bc4d74

Summary of constitutional work in recent years and decades::
https//www.stjornarrafnidcontrolcommand-andnations/Constitution/

Constitutional Committee 2013

Following elections to Parliament 2013, the Prime Minister appointed a Constitutional Committee to work on constitutional amendments. The Committee completed three bills, none of which were adopted.

About the work of the Constitutional Committee (not available in english):
https://www.stjornarradid.is/projects/stjornskipan-og-thjodartakn/stjornarskrain/stjornarskrarnefnd-2013-2017/

The Constitutional Council’s online library

The Constitutional Council established an electronic library to support its constitutional work. A variety of materials are gathered there, covering both academic discussion and media debate on constitutional issues.

Database on the website of the Government Council:
http://www.stjornlagarad.is/gagnasafn/

Indriði’s reading list

Indriði Indriðason, professor of political science at the University of California – Riverside published a list of reading material on his website in 2010 as “obligatory readings” intended for those planning to revise the Constitution.

The reading list:
http://www.constitutionalassembly.politicaldata.org/Leslisti.pdf

General constitutional discussion on the web

Constitutional Library and Analysis Instruments: https://www.constituteproject.org