It happened at Richard Taylor Primary School in Bilton at some point on Sunday 20 December when damaged was caused to the school pavilion and a classroom window.
Officers are requesting the public’s assistance to help establish the full circumstances surrounding the incident.
In particular, police are appealing for information about persons who have been seen in the school premises whilst the school has been closed.
The school has recently suffered a number of incidents of anti-social behaviour, all of which has caused alarm to the school community.
Anyone with information that could assist the investigation should contact North Yorkshire Police on 101, select option 2, and ask for Geeta Maharjan. You can also email firstname.lastname@example.org
If you wish to remain anonymous, you can pass information to Crimestoppers on 0800 555 111.
Please quote the North Yorkshire Police reference number 12200241866.