Minister of State Thomas Byrne said rules will change for those travelling to Ireland from a red area after 29 November but warned it was "not an open door for travel".
He said passengers who receive a negative PCR Covid-19 test five days after arriving here will no longer have to restrict their movements.
As part of the European Union's new traffic light system, countries and regions are now categorised as green, orange or red depending on Covid-19 risk levels.
The European Centre for Disease Prevention and Control will publish a weekly map determined by the 14-day incidence and positivity rates of the disease.