Waterford Council has been called on to take action over anti-social behaviour at Gallows Hill in Dungarvan.
The large man made mound dates from the 12th century and rose to prominence in recent years as part of the Adopt a Monument Scheme.
Various archaeological investigations have been carried out on site.
Illegal dumping, loose horses, the use of scrambler bikes and anti-social behaviour are among some of the issues that have been a cause of concern to locals.
Fianna Fail Councillor Tom Cronin raised the issue at a recent meeting of the Dungarvan and Lismore District of Waterford City and County Council.
He says something must be done as these issues are being allowed to reoccur without any repercussions.
"There's trouble there with scrambler bikes, rubbish and everything else that goes with it - parties going on there and there was a lot of trouble and disturbance going on over Christmas. I'm disappointed that some restrictions haven't been put in place to get into that area. It's sending out all the wrong messages because we can't control what's going on there."
Cllr. Damien Geoghegan (Fine Gael) has also been a vocal critic of the behaviour in the area in recent months. He raised similar concerns at a previous meeting.
"It's not acceptable that people are out there for hours on end on scramblers and motor bikes in a built up area. I ask that we take a look at closing off particular access points to the green area which has caused nothing but problems."
Director of Services for Environment with Waterford City and County Council, Dawn Wallace said: "I'm aware there are issues at Gallows Hill. People with scramblers and horses is a matter for the Gardaí but it has come to our attention on multiple occasions about dumping."
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