The Icelanders almost lost the location of the Law Cliff, but fortunately found it again. At least that is the common belief. It does not change the documented facts about its role in society and the structure of power during the Free State Period (930-1262).

The parliament probably was founded on the so-called Pagan Law Cliff on a lava ridge between the Flosa- and Nikulas-chasms, where the law giving assembly once sought refuge. Then it was moved to the so-called „Christian Law Cliff", where the common assembly, the recital of the law and proclamations of new law took place. The law giving assembly was the highest institution of the parliament. The power lay in the hands of the chieftains, who shared the middle bench of this assembly with the Law Speaker and later the two bishops of the country. Sometimes large groups of warlike men assembled outside to try to influence the results of important issues debated there. Because of this constant danger the search for a safe assembly place continued without great results.

The Christian Law Cliff is situated on the lower brink of the Almannagja fault, where square shaped lava rocks, which probably served as seats, were found, but later moved down to the river.