Three new terror offences have been created as part of a new Bill published by the Justice Minister Frances Fitzgerald.
Under the Criminal Justice (Terrorist Offences) Bill, it will be an offence to train and recruit for terrorism - as well as to publicly provoke someone to commit a terrorist offence.
The offences carry a maximum sentence of 10 years on conviction, and/or a €5,000 fine.
Ms Fitzgerald said the Bill is an "important milestone" towards bringing in European Union laws on combating terrorism.
It also lays the groundwork for Irish ratification of the Council of Europe Convention on the Prevention of Terrorism.
"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," Ms Fitzgerald said.
"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," she added.