New figures from the Central Statistics Office show that the number of UK visitors coming here fell by 5.8% in the three months from August to October as a weak sterling continued to hit British consumers.
However, the number of North American visitors coming to Ireland continued to rise.
The CSO said the total number of trips to Ireland increased by 2.9% to 2,934,400 in the three months to October, an overall increase of 83,900 compared to the same time a year ago.
Today's figures show that trips here taken by residents of Great Britain decreased by 5.8% to 1,045,900.
Trips by residents of European Countries other than the UK increased by 4.5% to 1,022,900, while visits by residents of North America to Ireland increased by 14.8% to 682,500.
Trips made to Ireland from "Other Areas" increased by 9.8% to 183,200, the CSO added.
Today's figures also reveal that the total number of overseas trips made by Irish residents during the three period increased by 7.6% to 2,244,100.
Meanwhile, the CSO said that in the ten months to the end of October, the total number of trips to Ireland increased by 3.1% when compared with the same time last year.
Irish residents' trips overseas during the same period increased by 7.8%.
Commenting on today's figures, Niall Gibbons, CEO of Tourism Ireland, said the 3.1% increase in overseas visitors for the ten months to October comes on the back of a record performance in 2016 and years of solid growth in overseas tourism.
But Niall Gibbons said the 6.1% decline in visitor numbers from Britain continues to be a concern.
"The fall in the value of sterling has made holidays and short breaks here more expensive for British visitors and has made Britain more affordable for visitors from many of our top markets," he explained.
"Tourism Ireland will continue to place a greater focus on our "culturally curious" audience, who are less impacted by currency fluctuations. However, competitiveness and the value for money message remain more important than ever in Britain right now," the Tourism Ireland CEO added.
