Taoiseach Leo Varadkar has revealed that a 14 day quarantine period will be mandatory for all passengers arriving at Irish ports and airports.
The Government will compel people to fill in declaration forms about where they will be staying for the two week quarantine.
"We have made it mandatory for people to fill out the form and for people to quarantine for 14 days."
British citizens will be treated the same as Irish citizens, he confirmed.
"We will treat British citizens the same as Irish citizens. There will not be any discrimination if you like, against British citizens. There will an exception for people transiting to and from Northern Ireland. A lot of people transit to Northern Ireland through Dublin and they will be allowed to continue to transit."
He said he spoke with the First and Deputy First Ministers of Northern Ireland "to let them know what we were doing".
Mr Varadkar said he also spoke with the UK Prime Minister Boris Johnson this afternoon.
He said teams from both nations with continue discussions over the weekend to ensure alignment between the two countries.
"We need to make sure that the common travel area is protected so that we can enforce a 14 day quarantine period."
Earlier, Britain's Secretary of State for Northern Ireland Brandon Lewis said he hoped the Irish government would exempt travellers from Britain from quarantine requirements.
The British Government has exempted people travelling to the UK from the Republic of Ireland from its proposed period of self-isolation for international travellers because of the Common Travel Area.