Centrica chief executive Sam Laidlaw told ITV News Business Editor Laura Kuenssberg that he agreed with David Cameron that "there has been too much confusion and proliferation of different tariff types."
He said simplifying pricing would mean that "the range between cheapest and most expensive is going to narrow" and that "the deeply discounted deals are disappearing".
British Gas was writing to customers every six months to advise on the cheapest tariffs available, he added.
More top news
Rain will ease across central Scotland this morning but it will continue throughout the day across much of Scotland and the north.
An orangutan who has lived in a zoo for the past 20 years, can be granted basic human rights, a court in Argentina has ruled.
Socialite Tara Palmer-Tomkinson has been cautioned by police after a 'disturbance' at Heathrow Airport.