The PSNI said that a front door of a house has been damaged by gunfire.
It happened at Springfield Avenue in the west of the city on Thursday evening at around 8pm.
Detective constable Gareth Hussey said: “Upon examination of the scene it is believed that a shotgun cartridge has been discharged, causing the damage.
“There was no-one inside the house at the time of the incident and there have been no reports of any injuries.”
They asked anyone with information to contact CID at Musgrave on 101, or ring Crimestoppers anonymously on 0800 555 111.