The new record represents a 7% increase on the previous year, the government said.
The number of first time applicants from the UK peaked around this year’s Brexit deadlines of March and October.
Foreign Affairs Minister Simon Coveney said: “2019 was another bumper year for the Passport Service.
“The award-winning Passport Online expanded in 2019 to include first time applicants in Ireland, Northern Ireland, Great Britain and Europe.
“Irish citizens including children can also renew their passports online 24/7, from anywhere in the world.”
More than 900,000 Irish travel documents were issued in 2019.
During peak periods, more than 5,800 applications were submitted from around the world in a single day.
Continuing the record-breaking trend, total monthly applications exceeded 100,000 in January, March, April and May.
Brexit has seen a surge in demand from Irish citizens living in Northern Ireland, England, Scotland and Wales.
The tallies for February and March cleared 11,000 each month coming up to the Brexit deadline.
October also saw a surge to 7,208 but the Halloween deadline for the EU withdrawal was again missed.
Mr Coveney added: “I want to thank the staff of the Passport Service who have worked hard in recent years to ensure the government provides a modern, secure and efficient passport service.
“The Irish passport is a valuable document and we continue to strengthen all processes to prevent fraud and maintain its integrity and security.”