Elections are held for 248 English councils, six mayors and all 11 councils in Northern Ireland
Conservatives and Labour both see vote shares fall compared with 2015
The Tories lose 44 councils and 1,334 seats
Theresa May says results message is: "Just get on and deliver Brexit."
Labour loses six councils and 82 seats
Lib Dems take control of 10 councils and won 703 seats
Greens and independents also make significant gains
Anger over Brexit appears to be influencing voters, say experts
Mrs May has accused Labour leader Jeremy Corbyn of having no credible plans for the UK.
She says Mr Corbyn has a "reckless, ideological approach that would take us back to square one".
BBC political correspondent tweets...
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The prime minister admits there have been some "challenging results" for her party in the local elections.
"These were always going to be difficult elections for us," she says.
"But it was a bad night for Labour too."
She then thanks and apologises to Conservative councillors who had lost their seats "through no fault of their own".
The PM has largely been speaking about Brexit so far.
She says the party must "stay the course" and "deliver for the British people".
Mrs May adds that the UK "needs a Brexit that works for the whole UK and our deal does."
Speaking to the Welsh Conservative conference in Llangollen, Theresa May says there is a "simple message" for both Tories and Labour from the local election results: "Just get on and deliver Brexit."
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Before the prime minister can begin her speech, an audience member heckles: “Why don’t you resign?
"We don’t want you.”
Other members shout him down and he leaves.
Theresa May says she usually finds the people of north Wales friendly.
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Image source, UK ParliamentConservative MP for Solihull, Julian Knight, says Brexit has had a direct impact on the local elections.
Speaking at the local election count in his constituency, he says: "People are angry about Brexit, turnout is very low in some wards.
"People are fed up and want politicians to get on and deliver Brexit."
Mr Knight says the process has been "held up" by those who wanted a "perfect Brexit" on one side, and Labour, who he says have not "lived up" to their pledge to respect the referendum result.
Prime Minister Theresa May is set to speak following a difficult night of local elections.
The PM is at the Welsh Conservative Conference in Llangollen, north Wales.
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