Health Minister Stephen Donnelly offered “sincere thanks” to everyone involved in the operation.
“There is no justification for the deliberate attacks on civilians and healthcare services in Gaza and the loss of life has been devastating,” he said.
“I’m pleased that Ireland is playing a part in treating children whose lives have been devastated by this needless war and I wish these children well in their time ahead here in Ireland.”
The group travelled on a plane provided by the Slovakian government.
They were welcomed to Dublin by Minister of State for International Development and Diaspora Sean Fleming, Palestinian ambassador to Ireland Dr Jilan Wahba Abdalmajid and Slovakian ambassador Andrej Drobathe.
The children have arrived in Ireland via Egypt, which has accepted more than 2,300 medevac patients since the start of the Israel-Gaza war.