The Ipsos MORI poll published in the London Evening Standard newspaper showed the Conservatives' share of the vote up to 46 percent from 45 percent from their last survey published on June 2, with the main opposition Labour party on 36 percent, down from 40 percent.
Ipsos MORI polled 1,291 people between June 6-7.
A flurry of opinion polls published on Wednesday put the Conservative lead in a range of 1 to 12 percentage points, with most suggesting that May would increase her majority in parliament.
(Reporting by Michael Holden; Editing by Georgina Prodhan)
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