More than 1.84m people travelled to Ireland between September and November, according to the Central Statistics Office, up 6.4% on the same period of 2013.
More than three quarters of these trips were made by people living in other European countries, with Britain alone accounting for almost half of all visits.
Residents of North America made up a further 18.5% of visits here during the three month period – a 19% increase on last year.
The figures mean that more than 7m people travelled to Ireland between January and November - 558,700 (8.6%) more than in the same period of 2013.
The number of overseas trips taken by Irish residents between September and November was also up year-on-year, according to the CSO.
Almost 1.65m people went abroad during the three month period – up 8.4% on last year.
Over the course of the year to November, more than 6.1m Irish residents went abroad – up 2.9% on the same eleven months of 2013.
Niall Gibbons, CEO of Tourism Ireland, welcomed the growth in visitor numbers and said they hoped to continue the momentum into next year.
"Right now, we are rolling out an extensive end-of-year campaign, to kickstart our promotional effort for 2015," he said.
Mr Gibbons said they hoped to "ensure that 2015 is the best year ever for Irish tourism when we aim to welcome 7.74 million visitors – surpassing the previous record year of 2007.”