The Government has published a bill which will create three new terrorism offences.
The Criminal Justice (Terrorist Offences) (Amendment) Bill 2014 will transpose into Irish law an EU directive on combating terrorism.
The new offences are: public provocation to commit a terrorist offence, recruitment for terrorism, and training for terrorism.
The offences will carry sentences of up to ten years imprisonment.
Welcoming the new bill, Minister for Justice and Equality Frances Fitzgerald said: "We stand with our European colleagues in doing everything in our power to ensure that there are no gaps in our law that can be exploited by those who would inflict terror and mayhem on innocent people at home or abroad.
"There can be no hiding place in democratic society for those who encourage, recruit or train others to carry out acts of terrorism and we must never relent in our determination to use all resources at our disposal to root them out."