New figures from the Central Statistics Office show that the number of overseas trips to Ireland rose by 6.6% in the three months from April to June compared to the same time last year.
But the number of trips made by people from the UK fell as the weak sterling continued to affect British people's travel plans.
The CSO said a total of 2.769 million trips were made in the second quarter of the year, up from 2.599 million the same time last year.
The number of trips made by Britons fell to 949,000 from 1.014 million in the second quarter of last year.
However, the number of trips made by US residents rose from 476,000 to 546,000 in the second quarter of this year.
Today's CSO figures also reveal that the average duration of overseas trips here fell from 6.7 bednights to 6.6 bednights.
But total tourism and travel earnings from visitors here jumped by 13.4% on an annual basis, rising from €1.655 billion to €1.876 billion.
They figures also show that Irish residents made a total of 2.119 million trips in the three months from April to June, up 7.3% on the 1.975 trips the same time last year.
The average duration of these trips decreased from 7.1 bednights to 6.8 bednights, while total travel and tourism expenditure still rose by 3.1% to €1.281 billion from €1.243 billion.
Commenting on today's figures, Tourism Ireland's chief executive Niall Gibbons said the fall in the value of sterling has made holidays and short breaks here more expensive for British visitors.
At the same time, the weaker sterling has made Britain more affordable for visitors from many of our top markets.
"While we can see the impact of currency changes in today's CSO results, which confirm a decline of 6% in British visitors in the first half of the year, revenue from the market has held up somewhat better," Mr Gibbons noted.
"This year, Tourism Ireland has placed greater focus on 'culturally curious' visitors from Britain, who stay longer and spend more, because they are less impacted by currency fluctuations. However, competitiveness and value for money messages are more important than ever right now," he added.
