Due to the covid-19 situation, the borders are still closed for travelers without what is deemed a "worthy purpose". You can find all necessary info about borders and covid-19 measures in Copenhagen here.
Updated February 11, 2021.
As things change fast, we encourage you to see the Danish authorities' latest information on entering Denmark on www.en.coronasmitte.dk .
About borders and entry into Denmark as a tourist
Until and including February 28 2021, everyone entering Denmark are required to take a test and isolate for 10 days. This is to limit the introduction and spreading of new and more contagious virus variants.
People resident outside of Denmark can only enter Denmark if they have a worthy purpose and proof of a negative COVID-19 test taken no more than 24 hours before entry. If you travel by plane, the test must have been taken less than 24 hours before boarding the plane. The rule about testing and isolation upon arrival still apply.
Travelers must expect to be denied entry at the Danish borders, including airports unless they have a worthy purpose for entering. See what is considered a worthy purpose by the Danish authorities in here.
Special rules about entering Denmark apply for people living in the border regions. Read more.
If you are in Copenhagen, we urge you to follow instructions from the authorities which include these measures
New guidelines at Copenhagen Airport
Besides including compulsory medical face masks at the terminals of Copenhagen Airport, the guidelines issued by The European Union Aviation Safety Agency (EASA) apply to all European airports and include a set of things you need to consider before flying.
See this practical guide on safe travel through Copenhagen Airport - including the option of free covid-19 test at the parking area P5 outside of Terminal 3.
Danish Health Authorities' information for tourists: