The granting of Irish citizenship through naturalisation is governed by the provisions of the Irish Nationality and Citizenship Act 1956, as amended. Ireland recognises dual nationality.
Full information is available on my Department's website at: www.irishimmigration.ie/citizenship/dual-citizenship/
Irish citizens are not required to renounce their Irish citizenship when becoming a dual citizen of another State. However, the law in some countries may require them renounce their Irish citizenship before they can become a citizen there.