Citizens from the Faroe Islands, Finland, Iceland, Norway or Sweden do not need a resident permit to stay in Denmark. However, you must bring your passport with you if you wish to be registered as a Danish resident. You should also bring your Nordic registration number.
Residence permit for non-EU citizens
If you are not an EU citizen, you must have both a resident and work permit to live and work in Denmark.
Registration certificate for EU citizens:
If you are an EU citizen, you can stay in Denmark for three months without a resident permit, and if you are looking for work, you can stay in Denmark for up to six months without a resident permit.