Figures from the Department of Housing, Planning and Local Government show the total number of people homeless during May of this year was 10,253, down from 10,378 in April.
In February this year, the number of people in emergency accommodation reached the 10,000 mark for the first time.
The number of children accessing emergency accommodation for May was 3,749, down from 3,794 in April, a drop of 1.2%.
Nationally, the number of adults accessing emergency accommodation was 6,504 for May, compared to 6,584 for April, again a drop of 1.2%.
The figures relate to individuals and families accessing local authority managed emergency accommodation for the week of 20-26 May.
Minister for Housing, Planning and Local Government Eoghan Murphy welcomed the small reduction, but said the number of children in emergency accommodation was "unacceptable".
Speaking on RTÉ's News at One, Minister Murphy said there should be no children in emergency accommodation.
When asked about what homeless families would do now that the primary school holidays had begun, Mr Murphy said in situations where there are agreements with B&Bs and hotels, the families staying there are not being asked to leave their accommodation during the daytime.
The Labour Party, meanwhile, has said the Government's housing policy is failing and it must not try to claim otherwise.
It said that as primary school children break for the summer holidays, thousands are facing into a summer in temporary accommodation.
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