Members of the LGBTQAI+ community have the same rights as everybody else to register cohabitation.

Homosexuals who are married or in registered cohabitation may adopt children or have children using artificial insemination, subject to the usual conditions governing the adoption of children, and have the same rights as other parents if they have children previously.

There exists just one Marriage Act in Iceland, and it applies equally to a man and a woman, two women and two men. This means that all people who are married are covered by the same Marriage Act and that priests and heads of registered religious communities may marry individuals of the same gender. 

Fjölmenningarsetur
Translating
Iceland
Administration
Finance
Employment
Family
Housing
Education
Health
Emergency
Cars