There are two Traveller's Point of Entries in Denmark:
Border Inspection Post, Kastrup at Copenhagen Airport
Phone:+45 72 27 64 40
Fax: +45 72 27 64 51
Border Inspection Post, Billund at Billund Airport
Phone: +45 72 27 69 00
Fax: +45 72 27 56 03
Entry of pet animals brought directly into Denmark from non-EU member states through any other border crossing, airport or port is illegal.
Pet animals coming from Andorra, Faeroe Islands, Gibraltar, Iceland, Liechtenstein, Monaco, Norway, San Marino, Switzerland and the Vatican can enter Denmark through any border crossing and are not subjected to documentary and identity checks by the competent authorities unless random checks are carried out.
Here, you may find a link to Traveller's Point of Entry in other EU Member States, if you travel to Denmark via another EU Member State. If so, the documentary and identity checks must be conducted at the Traveller's Point of Entry at the external borders of the Union:
Traveller's Point of Entry in other EU Member States