To apply for a duplicate or replacement of any Department of Road Transport document on loss, theft, or defacement.
There is a fee that varies depending on the document being replaced.
You require:
Completed form TOM 46.
For a replacement Driving Licence, a Form TOM 7 and TOM 46 ARE REQUIRED – the officer of the Department may be able to take our photograph. If not, two recent passport-size photographs (40x35mm)
The Fee is € 40.
Take the completed forms to your district Transport Department Office or CSC.
You can download a printable form for completion and an English translation 
here.
If your current EU or National licence is lost or stolen, it has to be replaced in your country of current residence. The replacement will be based on the information or proof supplied from the issuing Country. (Article 8(5) of Directive 91/439/EEC).