Salterstown Orange Hall in Ballyronan was extensively damaged in the blaze, which was discovered around 4am today (Monday). A lodge banner, collarettes and musical instruments were destroyed.
Mr Lunn said it was a “mindless sectarian attack”.
“This is simply vandalism which achieves nothing except to attempt and intimidate one section of our community. Attacks like these have no place in our society.
“This Orange Hall was used for a wide variety of events by a number of different groups. This was an attack on the whole community and has severely damaged a valuable asset for local people.
“The people responsible for this attack offer nothing positive to our society. I would encourage anyone with information to report it to the police immediately.”