Sky News is projecting that Theresa May could win a Commons majority of 48 in the General Election based on an analysis of local election results.
If the trend continues, it could put the Conservatives on course to win dozens of parliamentary seats from its Labout in a snap general election on June 8.
Voters across England, Scotland and Wales went to the polls Thursday to choose almost 5,000 new local councilors, in the shadow of campaigning for the snap June 8 general election and a bitter debate over Britain's departure from the European Union.
Labour's former Health Secretary Andy Burnham was elected mayor of Greater Manchester.
Labour's vote didn't just collapse in Scotland but in traditional English heartlands where the scale of the victory took even the Tories by surprise. The UKIP suffered a huge defeat - losing 145 seats and winning only one - virtually wiping them out.
In his statement, Corbyn said: "The results were mixed".
By 1pm they had secured 30 council seats, just four short of gaining overall control, while the Labour group lagged behind on 15.
Lib Dem leader Tim Farron said Labour's meltdown set his party up to make scores of gains in the general election.
The main opposition Labour Party lost control of councils in Wales, but the biggest losses were suffered by the anti-EU UK Independence Party, which has struggled to find a new footing since the vote to leave the European Union last June.
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Most dramatically, it lost ground in Scotland, where the Conservatives - long all-but-extinct there - made gains.
But both parties lost out this time. Party leader Nicola Sturgeon said her party had achieved "a clear and emphatic victory".
But the poll pain could continue as results feed through for Scotland, where Labour has been decimated by the SNP.
While the SNP vote has largely held up, the party will face strong challenges in some of its key seats, including Moray, where the SNP's leader in Westminster Angus Robertson will face a tough battle to keep his seat, based on the council results in that area.
After seeing Ukip lose all 10 of its councillors in its former stronghold of Lincolnshire on Thursday, Mr Nuttall acknowledged that he was "not the favourite" in Boston and Skegness, where he is challenging a 4,336-vote majority for Conservatives in the 2015 election.
"I can promise the electorate the Conservative administration will represent you all, irrespective of whether you voted for us".
"With the last two years spent on the development of polling methods specifically devised with the intention of confronting the Labour problem, the question must be considered that we've gone too far the other way", he said.
In Wales, the Tories gained 80 councillors and added control of one authority.