The number of visitors to the UK rose to 3.5 million in June, up 7% from the same month last year, according to official figures.
The number of visitors from North America shot up by 34%.
While in the UK, the visitors spent £2.2bn, a rise of 2%, the Office for National Statistics (ONS) said.
The increase comes as the weak pound makes the UK more affordable for visitors, but also follows terror attacks in London and Manchester.
Meanwhile, UK residents took a record 7.2 million trips abroad, up 4%.
However, with the fall in the value of sterling putting them at a disadvantage, the amount they spent leapt by 15% to £4.6bn.
The best month so far this year was April, with 3.7 million visitors coming to the UK – up 19% from a year earlier – as the fall in the value of the pound made the UK a more attractive destination.
Over the April-to-June quarter the number of visitors from overseas rose to 10.75 million, up 8% from the same period a year earlier.
VisitBritain Director Patricia Yates said: “Tourism is one of Britain’s most valuable export industries and this continued growth demonstrates the industry’s increasing importance as a key driver of economic growth across our nations and regions.”