"There can never be any justification for such brutality. Our thoughts are with the families and friends of all those who have lost their lives, and also with the injured and we hope for their speedy recovery," the government said in a statement on Tuesday, Xinhua news agency reported.
"Acts of violence like these are an attack on the democratic way of life that we in Ireland hold dear and the values that we share with our EU partners," it said.
"There is no information at present of any Irish casualties but this is, of course, an evolving situation," it added.
The Irish police authorities and the Department of Foreign Affairs are currently liaising with the relevant authorities in Brussels and other international partners in the light of these attacks, according to the statement.
Meanwhile, Irish Foreign Minister Charlie Flanagan said his department, in conjunction with the Irish embassy in Belgium, are working with the local authorities.
"Any Irish citizens in Brussels or Belgium should exercise caution and closely follow the instructions of local authorities," he said.
At least 34 people were killed in a series of attacks in Brussels on Tuesday.