The number of people in Britain who applied for Irish passports last year increased by 40% on the figure for 2015.
The rise is partly attributed to people's reaction following the result of the UK referendum on EU membership in June last year.
Passport applications from Northern Ireland increased by 26.5% over 2015.
Overall, Minister for Foreign Affairs and Trade Charlie Flanagan said that 733,060 Irish passports were issued in 2016, an increase of 9% on the previous year.
"There was a strong increase in demand for passports in the first half of the year,” said Mr Flanagan.
"This was due to a variety of factors including the fact that more Irish people travelled in the first half of the year.
"We also had the Euros Championships and a historical spike in applications from 2006 feeding through in the ten-year renewal cycle.
"Following the UK Referendum on EU membership in June passport applications from Northern Ireland saw an increase of 26.5% over 2015 to 67,972 while application levels from Great Britain increased by 40.6% to 64,996."