The government has been encouraged to help consumers get cheap energy by abandoning the carbon floor price in this year's Budget statement.
Consumer group Which? claims the levy - which encourages companies to invest in green methods of electricity generation - will result in increased costs for domestic energy users.
Figures from the government estimate the tax will add between one and six per cent to average expenses by 2016.
Executive director of Which? Richard Lloyd said: "People are already struggling to manage their energy bills, so it's unacceptable for the government to pile yet more pressure on household budgets."
He added while it is in everyone's interests to tackle climate change, the government cannot "write a blank cheque on consumers' behalf" in order to stimulate green measures.
The Institute for Public Policy Research estimates up to 60,000 households could be pushed into fuel poverty by 2013 as a result of the tax.
Recently, the Energy Bill Revolution campaign called for revenue from the carbon floor price and the Emissions Trading Scheme to be invested into improving the efficiency of the UK's housing stock in order to help cut bills.
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