Ovo Energy, a small power company, has pledged to bring annual bills down to under £1,000.
Ovo says that a 9.5% fall in wholesale gas prices over the winter has allowed it to lower prices.
Its pledge comes just weeks after a competition inquiry was announced into the “big six” energy firms to see if they are hampering competition in the energy market.
Ovo’s price is based on a dual fuel, medium user paying by direct debit.
In the UK, the average annual dual-fuel bill – covering gas and electricity – is about £1,264 per household.
Last month, SSE – one of the big six energy firms – said it would freeze domestic gas and electricity prices at their current levels until 2016.
The price of energy has become an important political issue, particularly after several of the big energy firms raised tariffs at the end of last year.
Last month, a report by regulator Ofgem called for an investigation into the market by the Competition and Markets Authority (CMA).
The Ofgem report criticised the effectiveness of competition.