Two shots have been fired at an unoccupied house in the Upperlands area.
Detectives are investigating the circumstances of the incident which happened in the Drumlane Road, Tamlaght, in the early hours of last Friday.
There were no reports of any injuries.
Detective Inspector Will Tate has appealed for anyone who noticed any suspicious activity in the area or who has any information to contact detectives in Cookstown on 101 or Crimestoppers anonymously on 0800 555 111.
The shooting follows a similar incident in the Hillmount Park area of Tobermore on Thursday morning when shots were fired at the front of a house.