More than 1.34 million people travelled to Ireland in the first three months of the year, according to the Central Statistics Office, a 7.3% rise on the same period of last year.
British residents accounted for nearly half of those trips, with 635,500 visitors coming from there over the three months.
This was 11.5% higher than in the same period of 2013.
Trips by residents of other European countries accounted for a third of all trips at 447,400 – up slightly on last year.
Meanwhile, trips from residents of North America rose 6% to almost 179,000.
During the same period the number of overseas trips by Irish residents fell 4.6% to 1.15 million.