Three men smashed two windows at one property in the Glebeview Park area of Garvagh around 1 am.
The men then went to another property and smashing two windows there.
A woman, aged in her 40s, was hit in the face by a piece of glass in the second house.
It is not believed that she required medical treatment. The windscreen and a side window of a car were also smashed.
The three men wore balaclavas and are believed to have made off on foot in the direction of Upper Mettican Road.
Anyone with any information about this incident is asked to contact Coleraine Police Station on 0845 600 8000.
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.