The Danish version was signed on 10 January 1661, by the representatives of the estates of the realm, i.e. nobility, clergy, and burghers.
In Norway, which included the Faroe Islands, Greenland, and Iceland, the act was signed on 7 August 1661, by nobility, clergy, burghers, and farmers.
The acts gave the King absolute sovereignty (hence the name) and were signed following a coup d'etat by Frederick III of Denmark and Norway in October 1660, which abolished the Danish Council of the Realm, electoral capitulation and Elective monarchy, ending the political influence of the nobility and clergy.
This was made possible partly because the Council of the Realm, and thus the nobility, had lost control over the Army during the Second Northern War in the years before, and the King could now use the army with its German officers and enlisted troops to intimidate the Danish nobility into accepting the constitutional changes.
[1] The Sovereignty Act was replaced by the King's Law or Lex Regia (Danish and Norwegian: Kongeloven) in both kingdoms in 1665, which formed the constitution of Denmark and Norway until 1848 and 1814, respectively.