The number of trips by overseas residents to Ireland was up by 7.8% between July and September compared to the same period a year ago.
An extra 164,300 visits were recorded by the Central Statistics Office bringing the total to just over 2.2 million.
Trips by residents of North America were up 13.6% to 415,000. The number of visits to Ireland by British residents increased by 9% to 904,000.
The figures for overseas visitors to Ireland include tourists and people who have come to Ireland on business trips.
It also, however, includes Irish people who have lived outside the country for more than a year as the CSO defines a person's "country of residence" as the place in which they have lived for the past 12 months.
The total number of trips by Irish residents abroad also rose during the period, by 4.7%, to just under 4.3 million.