The call comes after claims by Councillor Mark Pritchard, leader of Wrexham Council, that only political activists had filled in a council questionnaire on proposed cuts and another attack on unnamed politicians.
He also claimed there 'would be nowhere to hide for any politician' should more web cameras be installed to cover scrutiny meetings.
Responding to claims that some councillors were saying one thing in meetings without cameras and another when they were being filmed, Cllr Carrie Harper said:
"Cllr Pritchard needs to concentrate on what he's supposed to be doing rather than blurting out cryptic and underhand rants to the press about what other councillors may or may not be saying in meetings. "One minute the leadership says it would welcome more scrutiny of the budget process, the next it throws its toys out and complains about 'political games' when its budget is dragged from confidential workshops and is taken through a public scrutiny process. This flip-flopping points to a weak and paranoid leadership, something we see as the opposition week in week out. "The more webcasts broadcasting council meetings to the people of Wrexham the better as far as I'm concerned."
Cllr Marc Jones added his voice to criticism of the council leader, who suggested that those filling in the questionnaire on the budget cuts were political activists rather than ordinary people:
"As a councillor, I welcome the fact that 2,000 people have already filled in the questionnaires about proposed savings and cuts. If the council leader believes he can dismiss these 2,000 people as political activists rather than ordinary people, then he's either psychic or incredibly insulting to those who've taken the time to answer the council's questions.
"Most people I've spoken to are unhappy about elements of the cuts and want more alternatives to the Difficult Decisions being put forward. They want to know, for example, why the difficult decisions don't extend to councillors and senior management, to the cost of the mayor and iPads. That's what's bothering Mr and Mrs Jones.
"If we're going to make difficult decisions, lets have all the options on the table."