The Department of Justice has confirmed to RTÉ's Morning Ireland that an estimated 20 people have been refused accommodation in Direct Provision centres over the past two weeks because they are at capacity.
A number of asylum seekers have been left homeless as a result and at least one has been forced to sleep on the streets.
The Department of Justice saidthe number of people arriving in Ireland applying for international protection has increased over the past number of months.
It says 20 people were refused accommodation in the direct provision system over the past two weekends and were referred to homeless services.
Direct provision centres across the country are operating at nearly full capacity due to ongoing delays in the system and difficulties moving refugees into long-term rented accommodation.
The Irish Refugee Council says asylum seekers are not getting the support they need which it says is a breach of EU and Irish law.
The Reception and Integration Agency, the State body responsible for running the direct provision system, says women and families are being prioritised and it said its working to sort the problem out as soon as possible.
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