The glass in the front door of a business premises close to the Craoibhín Centre in Termon was smashed.
Gardaí are investigating the incident, which happened between 4:00 pm on Thursday evening and 12:40 pm the following Saturday.
Entry was not gained.
The authorities are now asking anyone who may have observed suspicious activity or vehicles around the centre between those dates to contact Gardaí in Milford.