According to law all international students must register in Iceland or apply for a student permit depending on citizenship. Students with citizenship outside the European Economic Area (EEA) or European Free Trade Association (EFTA) must apply for a student permit before arrival and be granted an approval from the Directorate of Immigration before traveling to Iceland. EEA/EFTA citizens must register in Iceland according to the duration of stay.
Follow the information depending on your citizenship
Registration to Iceland - Video