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.
Man treated in hospital after being shot in leg
Former UUP leader insists he is focused on reselection for Assembly poll
NI First Minister excited by ‘seismic political shift’ across UK
Fire crews tackle blaze at Belfast recycling centre