The five llamas - as well as three goats - were transferred to a holding pound in Summerhill, Co Meath after being rounded up by Dublin County Council at the Red Cow roundabout.
However, they were reported missing from the pound this morning by its contractors.
Gardaí in Summerhill have been informed of the situation.
South Dublin Council is offering any assistance required and has invoiced the owners for a contribution to its costs in capturing the animals.
