The rule change, which means a higher number of coronavirus cases can now occur in a local area before lockdown is triggered, was confirmed by the Ministry of Health on Friday and takes immediate effect.
The limit has increased from 600 to 1,000 cases per 100,000 residents for parishes, which cover smaller geographical areas than municipalities.
In municipalities, the previous threshold of 300 cases per 100,000 residents in the last week for municipalities has been eased to 500 cases per 100,000 residents in the last week.
The thresholds were eased previously at the end of May.
Other criteria which must also be met for the local lockdowns to take effect remain unchanged.
As such, parishes must still have at least 20 infected persons and a test positivity rate of three percent. Municipalities must also have at least 20 infected persons.
The three municipalities with the highest Covid-19 incidences per resident are at the time of writing the densely-populated Copenhagen (304 cases per 100,000 residents in the last week), Frederiksberg (283 cases per 100,000 residents) and Aarhus municipalities (277 cases per 100,000 residents).