More than 2,500 applications for the new passport card have been received since it went on offer yesterday.
The card allows people to travel within all countries of the European Union and European Economic Area (EEA).
Adult citizens who already have a valid Irish passport book are eligible to apply for the card.
It has a maximum validity of five years, or the remaining validity of your passport book.
The application fee is €35, plus a credit card transaction cost.
Applications can be taken online through the Department of Foreign Affairs website - or through an app for smart phones and tablets.
The Passport Service says it has the capacity to process 3,000 passport card applications per week, and that - depending on demand - it is estimated applications will be processed within 20 to 25 working days.
It adds that so far, it has received over 2,500 applications for the cards in the last 24 hours.