“The infection is under control and the Danish strategy has succeeded in a first, difficult phase,” Prime Minister Mette Frederiksen told parliament.
In mid-March, Copenhagen closed nurseries, primary and secondary schools, as well as cafes, restaurants, bars, gyms and hair salons.
Gatherings of more than 10 people were banned.
Some of the measures have since been lifted, with reopenings of schools for children up to age 11, as well as small businesses such as hairdressers and tattoo parlours.
A second phase of reopenings is scheduled to begin on May 10.
On April 1, the Scandinavian country widened its testing to include people showing mild symptoms. Previously only those displaying moderate to severe symptoms were tested.
Denmark on Wednesday confirmed a total of 9,206 cases since the beginning of the outbreak and 443 deaths.