Fewer than one in 10 people have faith in local and national governments to do right thing by them, according to a stark new poll.

Research for a conservative think tank found that only nine per cent of people place any significant faith in any layer of government to "do the right thing" if voters "had reason to contact them with an issue of any kind".

Some 40 per cent have no trust at all in the House of Commons.

In a foreword to the Centre for Policy Studies report, David Lidington, the Cabinet Office minister and Theresa May's de facto deputy said politicians must take action to address the disaffection "or risk lasting damage" to mainstream politics.

The polling comes as Theresa May faces claims that her proposals for a future relationship with the EU after Brexit amount to a breach of the trust of Leave voters.

Mayor of London Sadiq Khan credit: Kirsty O'Connor/PA

The survey also found scant knowledge of the various layers of government among many voters. Almost half (49 per cent) of Londoners were unaware the city had an elected mayor, currently Sadiq Khan, or that he had "powers that affect their lives", according to the Deltapoll survey of 2,000 people.

More than half of people in Wales (54 per cent) and four in 10 (42 per cent) Scots were unaware that the devolved governments in the two countries made or enforced laws that applied to them.

Fifteen percent of the public did not realise the UK is still a member of the EU. None of the people polled could correctly identify all the levels of government in the place where they lived.

Matt Warman, the Boston and Skegness Conservative MP, who wrote the report said it was clear that "people do not feel properly represented by those in power."

Chancellor of the Duchy of Lancaster David Lidington credit: afp

He makes a series of recommendations as a "starting point" to bring about change, including giving the public a right to know which elected official is responsible for a decision, and why it was made.

He also proposes putting local communities "in control of basic developments and letting them own any new infrastructure".

In a foreword to the report, Who Governs Britain?, due to be released on Monday, Mr Lidington said: "The stark polling results [this paper] sets out show that too many people simply don't know where power sits, or have faith in the people at all tiers of government who discharge it.

"Whatever party you are in, that should be troubling. "If individuals feel less powerful and less connected to their elected representatives, we must take steps to understand why - and take steps to change it - or risk lasting damage to mainstream politics."