New figures from the Central Statistics Office show the number of overseas trips made to Ireland rose by 7.6% in the third quarter of the year, while trips by Irish residents outside of the country were up 3%.
The CSO said the number of trips made to Ireland rose from 3.096 million in the third quarter of 2017 to 3.331 million trips in the third quarter of this year.
The number of nights spent in Ireland by overseas travellers also rose by 4.3% in the three months from July to September compared with the same time the previous year, rising from 23.6 million to 24.6 million.
But the average duration of overseas trips here fell from 7.6 nights to 7.4 nights, the CSO added.
Meanwhile, total tourism and travel earnings from overseas visitors to Ireland increased by 6% in the third quarter of this year compared to last year.
The CSO said that when fares are excluded, total expenditure increased from €1.736 billion to €1.832 billion, which represented growth of 5.5%.
Today's CSO figures show that the number of trips made by Irish residents overseas increased from 2.495 million trips in Q3 2017 to 2.571 million in Q3 2018 - a rise of 3%.
The CSO noted that the average duration of overseas trips made by Irish residents decreased from nine nights to 8.9 nights.
It also said that total tourism and travel expenditure by Irish residents overseas increased by 3% from €1.875 billion to €1.931 billion.
When all fares are included, total expenditure on overseas trips increased by 2.2%, from €2.362 billion to €2.415 billion.