The Government's concept of "fundamental British values" to promote citizenship is too closely associated with counter-terrorism policies, a new report suggests.

The idea has been "blunted" by being aligned with the controversial Prevent programme that seeks to deradicalise extremists, a House of Lords' committee review found.

The Government's very use of the phrase fundamental British values (FBV) - classified as democracy, the rule of law, individual liberty, and mutual respect and tolerance of those with different faiths and beliefs - was seen as problematic, because the values are not uniquely British.

The Lords' select committee on citizenship and civil engagement, which produced the report, also said the word "fundamental" had raised some concerns.

It called for the concept to be renamed "shared values of British citizenship" or "shared British values" (SBV), redefined as "democracy, the rule of law, individual liberty, and respect for the inherent worth and autonomy of every person".

It also said the Department for Education should rethink its plan to put teaching material for FBVs on its "Educate Against Hate" counter-terrorism website for schoolchildren.

It should be clear that the main objective was "to encourage positive citizenship rather than solely aiming to counter terrorism", it found.

The report said: "Our evidence suggests that many people see FBV as part of the counter-terrorism agenda.

"Shared British values are fundamental to the life of the country and should be promoted in their own right, not simply as an adjunct of counter-extremism policy."

The committee report received more than 750,000 words of written evidence, oral evidence from 58 people and contributions from 17,000 more over the space of nine months.

It also criticised what it said was the Government's lack of commitment to policies to boost citizenship.

It was "disappointed" that the Government only last month released a consultation document, the Integrated Communities Strategy Green Paper, some 15 months after Dame Louise Casey's report on integration in the UK.

Her year-long review concluded schoolchildren should be taught "British values" of tolerance, democracy and respect to help bind communities together amid growing "ethnic segregation".

The Lords' report also said there was a need for "fresh political thinking at all levels", and suggested one department or minister be put in charge of the cross-Government programme.

Conservative peer Lord Hodgson of Astley Abbotts, the committee chairman, said: "A cohesive and dynamic society is dependent on citizens feeling secure, engaged and fulfilled.

"The Government has not given sufficient focus to establishing long term programmes which build trust and confidence between state and citizen.

"Individuals do not learn about the government and political institutions by osmosis. They need to be taught and taught well. The neglect of citizenship education in recent years is to be much regretted.

"There are certain social issues which simply cannot be left in the 'too difficult box'. These include debating and defining British values which we all need to accept, share and defend.

"Our proposals do not require large amounts of taxpayers' money. They may require some reallocation, but above all they require consistent long term application, learning from experience and reinforcing success."