Although the polls disagreed on which direction public support was heading, neither found the opposition Conservatives were set for outright victory over Prime minister Gordon Brown's ruling Labour Party in an election expected in May.
An ICM poll for the News of the World newspaper put the Conservatives on 38 percent, down three points, ahead of Labour, up one point on 32 percent.
A survey by YouGov for the Sunday Times had the Conservatives up a point on 38 percent with Labour falling two points to 31 percent.
The results would see the Conservatives becoming the largest party in parliament but without enough seats for an overall majority, according to a poll predictor on the Sky News website.
The surveys are the latest in a series of polls pointing to Britain's first hung parliament since 1974.
Financial markets fear a minority or coalition government would be reluctant to take the strong action investors want to cut Britain's budget deficit, forecast to reach 178 billion pounds ($270 billion) this year.
A hung parliament could leave the smaller opposition Liberal Democrats as kingmakers with either the Conservatives or Labour needing their support to pass laws.
In an interview with the Observer newspaper published on Sunday, Lib Dem finance spokesman Vince Cable said he had held talks with the Treasury's top civil servant to discuss his party's economic policies in the event of a hung parliament.
Cable, whose personal reputation enhanced by his comments over the economic crisis, said he was not aware of such discussions previously taking place with his party before an election.
"He wanted to know what we attached priority to. He wanted to know what we felt strongly about," Cable told the paper.
The Conservatives want immediate action to start reining in the deficit while both Labour and the Liberal Democrats think the economy is too fragile to withstand public spending cuts now and that they should wait until the 2011-12 financial year.