The first instance happened in October of last year.
It's hoped an Offaly site destined for Ukrainian refugees won't be vandalised again.
55 Benefeciaries of Temporary Protection are due to be moved into the old shoe factory in Edenderry 'imminently,' as part of a proposal which was announced last year.
The site was vandalised with graffiti and had a number of windows broken last October.
Independent Ireland Councillor, Fergus McDonnell, says public and private property shouldn't be damaged: