The problem has been highlighted at Brownstown, Knocks Cross, Cutbush and Suncroft.
The issue of sheep "wandering off" the Curragh has been raised in a recent meeting of Kildare-Newbridge MD.
The problem has been specifically highlighted at Brownstown, Knocks Cross, Cutbush and Suncroft.
Kildare County Council says the potential of installing sheep grids at the L3007 road in Brownstown had been found "not to be feasible due to the presence of existing services in the road".
Speaking on Kildare Today, Fianna Fáil Councillor Brian O' Loughlin believed overgrazing was an issue on the plains:
"The reality is there's overgrazing on the Curragh, so there has to be some more control put on the amount of sheep that are on the Curragh, 3,000 to 5,000 sheep could be on it at any given time."
"The problem is that some farmers put them [sheep] on the Curragh for a month, then they move them over to some other land, there's a lot of toing and froing there. It's very hard to control it."
Cllr O' Loughlin added that "the stakeholders have to get together" to formulate a plan to deal with the issue, while also proposing a GPS system of tracking the movement of sheep there.
He admitted that it would be expensive, but suggested that Agriculture Minister and Kildare South TD Martin Heydon could set up a pilot project to see how the system would work in the Curragh.
"I was talking to the Curragh Range who supervise it, so even if they did impound sheep, they've no where to put them, everybody's facing a challenge and that has to come under control in some element."
"I'll be honest, I don't know the solution right now, but the stakeholders have to meet and come up with a plan."
Getting in touch with Kfm News, Councillor Pat Balfe said he had submitted motions in the past requesting cattle grids at Brownstown, Ballysax and Lurg Lane.
Cllr Balfe added that KCC advised that these locations were investigated, but the proposals were not progressed because of "underground utilities and concerns about potential noise".
"The safety concerns remain, and I will continue to press for a practical solution," said Balfe.
The full interview can be heard below:

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