Prime Minister Theresa May's plans to leave the European Union are overwhelmingly opposed by the British public and more than a third of voters would support a new right-wing political party committed to quitting the bloc, according to a new poll.

May's political vulnerability was exposed by the survey which found voters would prefer Boris Johnson, who quit as British foreign secretary (foreign minister) two weeks ago, to negotiate with the EU and lead the Conservative Party into the next election.

Only 16 percent of voters say May is handling Brexit well, compared to 34 percent who say that Johnson would do a better job, according to the poll conducted by YouGov for The Sunday Times newspaper.