Minister of health Magnus Heunicke confirmed the current rules would come to an end at midnight on Tuesday 29 March.
Previously, there had been a requirement for some arrivals to test negative for Covid-19 up to 24 hours prior to arrival. This included those who are not fully vaccinated or have not been vaccinated with a recognised jab.
Heunicke added the virus was still being closely monitored in Denmark and abroad, especially new variants.
He stressed that if a new variant was to arise, the Danish government had the capacity to pull an “emergency brake” and reimpose temporary restrictions on travel.
A spokesperson for Visit Denmark said: "From 29 March, you no longer need a test if you are not vaccinated or if your vaccine isn’t recognised in the EU or if you are from outside the EU and formerly infected."