The Taoiseach Micheál Martin has said the Government will examine making payments to individuals who host Ukrainian refugees in their homes.
Mr Martin said accommodation for refugees is becoming extremely challenging because thousands have arrived in a few weeks in what he said was an unprecedented situation.
He said this was part of Russian President Vladimir Putin's strategy to create pressures on democracies by creating so much migration.
He said Ireland must be very clear that it will stand with Ukraine.
Meanwhile, the Minister for Children said the State has "probably reached the limits in terms of hotel or b&b accommodation" that can be provided to Ukrainian refugees and other means of accommodation must now be explored.
Speaking on Newstalk, Roderic O'Gorman said other countries, such as Poland, are using large stadiums as a temporary housing measure to shelter Ukrainian refugees.
"I think it is likely that some of this larger scale accommodation will be into the medium term," he said.
He said that this is a wartime situation and the primary objective is to provide security to those in need.
Mr O'Gorman said 21,000 Ukrainian refugees have arrived in the State and around 13,000 are being accommodated in state-provided accommodation.
While the numbers of people arriving are slightly lower than in previous weeks, he said a greater number of people do not have any connections with the country and require accommodation from the State.
"They don't have relatives or family who may have settled here before."
He said the Government would continue to examine supports that local authorities could provide; pledges made by Irish families to provide accommodation; and older institutional buildings that could be converted to provide shelter.
He said over 21,000 offers of accommodation have been made by the Irish public.