Arrivals from France, Germany and the US won't face mandatory hotel quarantine - despite recommendations from public health officials.
In total there are 58 high-risk states from where people coming to Ireland must book into the quarantine system - including Palestine, the Wallis and Futuna Islands, as well as Puerto Rico.
They must spend 12 nights at the hotel facility at their own expense, but if they test positive for Covid-19 during their stay it will be extended at a cost to the state.
Arrivals from these newly added countries must book in for a stay if they are due to come to Ireland after 4 am on Tuesday.
It comes as the country's five-day moving average of Covid-19 cases has fallen by eight percent in the past week to 536.
It comes as 761 new infections were reported to the Department of Health, while 18 more deaths linked to the virus were recorded.
There were 255 patients with the disease in public hospitals last night, while there were 63 people in ICU.