64% of residents, responding to a Liberal Democrat Focus survey, have backed a proposal to freeze Council Tax levels in the City for a further year.
The survey was carried out in the Dringhouses and Woodthorpe Ward together with parts of Westfield, Acomb and Micklegate.
The option is being considered on Thursday and is expected to get the backing of both Liberal Democrat and Conservative Councillors.
The option is available as the Coalition government has offered a £1.8 million subsidy to the city if it keeps tax levels down.
Labour are proposing a 2.9% increase with a minimum 2% more to come the following year. This option drew the support of only 14% of respondents.
A third option – to hold a referendum to see whether residents would support an increase of over 3.5% – won the support of 22% of respondents.