Read More: Sectarian graffiti sprayed on church - UTV Live News"Every wall of the building has been defaced.
"Glenavy Church of Ireland Church Hall has not only been attacked with sectarian graffiti but threats have also been painted on the walls about individuals."
The attack is one of a number in the area over recent weeks.
A War memorial and Orange Hall have also been attacked.
Police called on anyone with more information to come forward.
Tensions seem to be high in Glenavy. Another sad Sectarian attack.