Donegal County Council has passed a motion calling for Cllr O'Donnell to resign his seat.
The motion from independent John Campbell was passed unanimously.
Fianna Fail councillors in Donegal have also said that Cllr O'Donnell should resign his seat.
The councillor featured in this week's 'RTÉ Investigates' documentary about standards in public office.
He was one of two councillors secretly filmed telling an undercover reporter he would like to be paid for assisting a windfarm investment company with planning issues.
Mr O'Donnell, an Independent councillor, told the reporter, who posed as a representative of a fictitious company, that he wanted to be paid through another individual and that such an arrangement would be for his "protection".
A second independent councillor, Hugh McElvaney of Monaghan County Council, also denied any wrongdoing despite being recorded on tape seeking £10,000 (€13,883) in return for his assistance.
He claimed he was the victim of a "dirty tricks campaign" and that he played along as he wanted "the opportunity of showing RTÉ up, our State broadcaster, for what they are".