Plaid Cymru AM Rhodri Glyn Thomas argued that needs "vary from local authority to local authority", and that should be considered when it comes to the question of freezing council tax.
He made the comments as Conservative party members lead a debate on council tax on 2 May 2012.
Janet Finch-Saunders AM proposed to the National Assembly for Wales that a council tax freeze would benefit the country's economy, and called for full transparency, accountability and efficiency in public expenditure.
According to Conservative AM Byron Davies, the money gained from council tax should stay in the public's pocket so they could spend it "how they wish" as "Labour prove time and time again that they can't manage budgets".
Liberal Democrat AM Peter Black questioned why the Conservatives aren't delivering their proposals in the councils they run in Wales.
A council tax freeze would "benefit the rich in their mansions more than anyone else" according to Labour AM, Mike Hedges.
Read this in Welsh.