Simon Coveney said that the Government’s measures have had a “huge impact” on curbing the spread of the virus from international travelers.
He said that the number of people passing through the country’s airports is 3 per cent of the numbers compared to last January.
“So it’s 97 per cent down and (it is) continuing to fall,” Mr Coveney said.
The Government is to introduce new measures around travel, including mandatory quarantine at a designated facility for people who arrive in Ireland without a negative PCR test taken in the past 72 hours.
Travelers arriving into Ireland without a negative test could face a fine of 2,500 euros or a six-month prison sentence.
Mr Coveney said the Government recognized that further restrictions were needed on people arriving into the country.
“Some of that mandatory quarantine has to happen in State-run facilities where people are required to effectively be in a hotel for 14 days, by law,” he told RTE Morning Ireland.
“The political decision to do that has only taken place in the last couple of weeks, and there is primary legislation required for elements of that and I hope that opposition parties will support Government now in getting that legislation through quickly.
“If the Dáil cooperates on that, there is no reason why it can’t be done very quickly in terms of the primary legislation, specifically required for that mandatory quarantine.”
Mr Coveney also said there is a difference between quarantine and self-isolation, saying there is some limited flexibility around quarantine.
But he said that it was up to the Government to clearly define that.
“Quarantine means they have to stay in their home, and the difference between that and self-isolation is; self-isolation you have to lock yourself in your room and separate yourself from the rest of the household which in quarantine is slightly different to that,” he added.
“Quarantining at home, you restrict your movement to your home.”
On Tuesday, Ireland reported a record 101 Covid-19 deaths, the highest number in a single day since the pandemic began.
An additional 879 new cases of the virus were also confirmed on Tuesday.