London (CNN Business) Bad news for the BBC: The broadcaster is not the United Kingdom's most trusted news source, and two-thirds of Britons want to change how it's funded.

A survey released Saturday show that 69% of Brits trust the BBC to deliver impartial and accurate television news. That's less than the 73% of people who trust rival TV source ITV News, but more than the 55% who place their faith in Comcast-owned broadcaster Sky News.

The survey of more than 2,000 people, which was conducted by Savanta ComRes for the Christian Communications Partnership, also reveals that 67% of respondents support scrapping or substantially reforming the fee system that provides the BBC with most of its funding.

The survey was conducted following a bruising general election campaign in which the BBC faced accusations of bias from both main UK political parties. Election winner Prime Minister Boris Johnson has suggested he could scrap the license fee that funds the network's entertainment programs and supports its 2,000 journalists around the world.

The £154.50 ($202) annual fee is paid by all Brits who watch or stream live TV. Last year, the BBC received more than £3.8 billion ($5 billion) from the tax, accounting for about 75% of its budget.

Read More