The Althingi drafted and approved the constitution before it was confirmed by the President.
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Politics of the Iceland take place in the framework of a parliamentary representative democratic republic, whereby the President is the head of state, while the Prime Minister of Iceland serves as the head of government in a multi-party system. Executive power is exercised by the government. Legislative power is vested in both the government and the parliament, the Althingi. The judiciary is independent of the executive and the legislature.
From wikipedia article Politics in Iceland
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Constitute Project (CP)
Constitute was developed by the authors of the Comparative Constitutions Project at the University of Texas at Austin. It was seeded with a grant from Google Ideas, with additional financial support from the Indigo Trust and IC2.