It was reported that at around 3.30 am two shots were fired through the front living room window of the property.
There are no reports of any injuries as a result of the incident.
A motive has not yet been established for the attack.
Detective Inspector Trevor Stevenson is appealing for anyone who was in the Woodville Street area between 2 am and 4 am this morning and who witnessed any suspicious persons or anyone who witnessed the incident to contact detectives in Lurgan on 101 quoting reference 690 12/08/18.
Information can also be provided to the independent charity Crimestoppers on 0800 555 111 which is 100% anonymous and gives people the power to speak up and stop crime.