A firework was pushed through the letterbox of a house in Cookstown.
Slight damage was caused to the door and an indoor curtain of the property in Fortview Terrace.
It happened on Saturday (November 5) at around 5:30pm.
No one was injured.
Police are appealing to anyone who may have noticed any suspicious activity in the area to contact them in Magherafelt.
Sharing of explicit AI images in Armagh school being investigated by police
Long-awaited inquest into death of Belfast schoolboy Noah Donohoe due to start
Murder investigation launched following death of man in Coleraine
Man arrested over threats to elected representatives
Teachers’ unions welcome pay increase while pledging to tackle workload