There were more than three million overseas trips to Ireland made during the third quarter of the year, according to the Central Statistics Office.
More than 3.06 million trips into the country were recorded between July and September, up 10.5% on the same period of 2015.
The figures also show that there was a 7.8% rise in the number of nights spent in the country by visitors, though the average length of stay fell on an individual basis.
Total expenditure by those visiting the country – excluding fares - also rose, up 9.1% to €1.69bn.
Around 37.5% of the quarter’s trips were made by residents of Britain, while almost 21% came from the USA and Canada.
More than half of the trips made in the quarter were for holiday, leisure and recreation purposes, while almost a quarter involved people visiting friends or relatives.
Meanwhile the number of overseas trips made by Irish residents also increased, up 3% in the quarter to 2.25 million.
More than 70% of those trips were for holiday, leisure and recreation purposes; while 19% were for visits to friends or family.