Three-quarters of Britons do not agree with being charged for banking.
Research by uSwitch.com also found that 81 per cent of respondents would not be willing to pay even a small amount in order to keep their bank account, while 48 per cent do not see any reason why they should face the charge.
Some 16 per cent of those questioned said they could not afford the additional expense, while 38 per cent are concerned about how much it would cost.
The study highlights how UK consumers would be left feeling alienated if the decision was taken to end free banking.
Michael Ossei, personal finance expert at uSwitch.com, said that charging for banking runs the risk of consumers being "priced out of the current account market".
"The impact of millions of households shunning bank accounts will be immeasurable – and the impact on household budgets will be immense," he added.
Indeed, the knock-on effect of this could be that many people face missing out on the best deals if they do not have an account.