Anti social behaviour at Polepatrick park and cemetery in Magherafelt continued at the start of March, the local District Council heard.
Members were told wreaths had been removed from a number of graves and scattered around the burial area and car park.
The area around the robbing room was littered with broken glass and paper.
Director of Operations Andrew Cassells said an unidentified blue power which had been scattered on flagstones caused staining which had to be removed with a power washer.
“Several branches were broken off conifer trees and thrown onto footpaths,” he said.
Mr Cassells said the damage was discovered by the caretaker who immediately notified the PSNI and gave a statement to officers who attended the scene.
Meanwhile, council staff had to replace another concrete bollard at the entrance to Glenone play area. A similar incident was reported to council last month.
Thieves also broke into Draperstown Recycling Centre and cut the power leads off all the domestic appliances stored on site for recycling.
In reply to a question from Councillor Brian McGuigan, Mr Cassells said some damage was caused to fencing but the thieves were targetting was valuable metals and lead batteries.