The forecaster, which is widely regarded for its accurate predictions, said a household using a typical amount of gas and electricity would pay £1,714 a year from October.
That would be a £146 a year rise compared with a current typical annual bill – the lowest for two years – of £1,568.
Energy regulator Ofgem will announce the next official quarterly price cap on Friday, with charities concerned about the prospect of prices rising again.
Although the price cap is changed every three months, it is illustrated by Ofgem in terms of an annual bill for a household using a typical amount of gas and electricity.