Forecasters from uSwitch.com concluded that on current trends, the bills would reach £4,185 by 2020, compared to £1,243 at present.
The research from the price comparison service is based on pricing trends over the last five years, taking into account inflation and the cost of cutting carbon and improving energy efficiency.
On top of that, the government's committment to securing the country's longer-term energy supply, allowing them to roll-out smart meters in homes, will cost taxpayers an additional £548 a year, meaning the cost of energy to each household could be as high as £4,733 within a decade.