A man holds an anti-Brexit banner on Westminster Bridge, in central London, Britain, July 13, 2018.
A separate poll on Friday suggested that the proportion of voters who favour a referendum on the final terms of any Brexit deal had overtaken those who do not for the first time.
This scheme will involve the release of 70 official documents over the next several weeks, describing a series of contingency plans in the event of a "No Deal" Brexit, which would see the United Kingdom walk away from the European Union without a formal bilateral agreement and deal with one another on standard World Trade Organization (WTO) terms.
Surveys over the past two months have shown a steady increase in support for another referendum, amid a parliamentary deadlock and as Theresa May sought to promote her Chequers plan for leaving the bloc.
The referendum was supported by 58 percent of Labour voters, 67 percent of Liberal Democrat voters and 21 percent of Conservative voters surveyed by YouGov.
A second question in the YouGov and Times poll asked how people would vote if there was now a re-run of the original Brexit vote to leave or remain in the EU.
Faith in Theresa May has plunged to record lows and nearly three quarters of people lack confidence she can get a Brexit deal.
British and EU negotiators are hoping for a final Brexit agreement by October, in order to allow time for ratification by European and British parliaments before a March 29, 2019 deadline.
4 million votes, or 51.
GARY Lineker has sparked fury after he claimed that a second Brexit referendum is more important than Football.
Given theirs is the generation that will be most hurt by Brexit, this was wrong."What is striking is that getting on for one-and-a-half million of those denied that vote have turned 18 since June 2016".
Meanwhile, an Ipsos MORI poll of 1,023 adults for the London Evening Standard newspaper, conducted July 20-24, found that 72 percent of respondents lack confidence in May's ability to reach a good deal with Brussels.
Best for Britain chief Eloise Todd said: 'Elected politicians are behind public opinion - two years behind to be precise.