The Nordic countries have a joint labor market agreement, under which citizens of the Nordic countries are free to live and work in Denmark. You do not need a visa or residence permit.
Read more here here.
Nordic citizens are citizens of the countries Finland, Iceland, Norway, Sweden, and Denmark.
For more information on the Nordic countries’ joint labor market and for further information about the rules which apply when Nordic citizens move to another Nordic country, visit www.hallonorden.org.
If you have questions regarding rules on residence and work in Denmark for Nordic citizens, contact Citizens’ Services in the Municipality in which you live.