The reception area for the Supreme Court is in the Courthouse’s spacious lobby. The daily operations of the Court are managed by the Secretary General of the Supreme Court on behalf of the President of the Court and according to his further instructions. The office of the Secretary General is next to the reception. The position of Secretary General in its present form was established by the Judicature Act No. 15/1998, replacing a similar position as defined under the previous law on the Court. The first Secretary General of the Supreme Court was Dr. Björn Thórdarson, later a judge and County Commissioner in Reykjavik and Prime Minister of Iceland.

A ramp leads from the lobby to the courtrooms of the building. Some see the hallway as a reminder that in ancient times, people walked to court at the Althingi through the Almannagjá Rift at the ancient parliament site of Thingvellir.