The Independent Councillor was recorded asking for a payment to aid planning proposals
Monaghan County Council have asked Councillor Hugh McElvaney to resign.
However, the Department of the Environment and Local Government have told Newstalk there is no structure in place to force a councillor to quit from a local authority by a vote of representatives.
McElvaney was one of three Councillors featured in the RTE Investigates programme “Standards in Public Office” which aired lat week.
McElvaney was filmed speaking to an undercover reporter and asking for £10,000 in return for aiding a planning bid for wind farms.
In the aftermath of the programme the former Fine Gael member – McElvaney quit the party in November 2015 - steadfastly insisted he had done no wrong and subsequently told Newstalk he knew he was speaking to a reporter.
The motion in Monaghan County Council for McElvaney to resign – proposed by Sinn Féin – passed with 13 votes and three councillors abstaining.
"I think there was a lot of shock and outrage expressed following his appearance (on the RTE programme)," said Sinn Féin Councillor Pat Treanor, who proposed the motion.
"He had broken the code of conduct for Councillors and had brought the Council into disrepute, so the Cathaoirleach of the Council called a special meeting to allow all council members to have their say," he added.
McElvaney, who has served in politics for 40 years, said after the programme aired he would run for election again in Monaghan and would top the poll.