Police investigating a threat to its officers and the Parades Commission are understood to have searched the Lisburn home of loyalist Mark Harbinson and a nearby Orange hall at Castlerobin.
The searches took place on Saturday following the threat, accompanied by a picture of three armed and masked men at a flag-draped table.
In its statement, the unnamed loyalist grouping described the PSNI and commission as “legitimate targets”.
Det Insp Mark McHaffie said police were responding to the threat and “acting on information”.
He said officers “carried out searches of a premises and dwelling house in the Lisburn area”, and added: “Nothing was found. There were no arrests.”
Harbinson was expelled from the Orange Order in 2011 following a criminal conviction.
A spokesman for the Order said no lodge meeting took place at the weekend, and that “anyone with information in relation to any illegal activity should contact police immediately”.