A number of shots were fired at a house in a Narre Warren South during the early hours of Saturday 30 June.
Two adults and two children were in the house at the time the shots were fired just after midnight. They were not injured.
Police were called to the Berwick Springs Promenade property at 12.30am.
They found one bullet had penetrated the front of the house while a second bullet damaged a car parked near the nature strip.
Investigators are trying to determine if the shots were fired from a car or by someone on foot.
Anyone with information is urged to contact Crime Stoppers on 1800 333 000 or submit a confidential crime report to www.crimestoppersvic.com.au