The incident happened at a house in the Alexandra Park Avenue area of Skegoneil on Thursday morning.
At around 7.25 am police received a report that graffiti had been sprayed on a house. A window was also broken.
Police would ask anyone who may have witnessed this incident or who has any information to contact the Case Progression Team at Musgrave on the new non emergency number 101.
Or, if someone would prefer to provide information without giving their details they can contact the independent charity Crimestoppers and speak to them anonymously on 0800 555 111.