Tory Kensington and Chelsea council leader Elizabeth Campbell says she recognises the need to "rebuild trust" after Labour gained seats.

"To do that we need to earn trust. And we need to earn it day by day and by our actions, not just by our words.

"We also recognise that all of us in Kensington and Chelsea live in the shadow of Grenfell. And Grenfell was, Grenfell is and Grenfell will be our first priority," she says.

The Conservatives' best performances were in places that had voted to Leave in the EU referendum, says Sir John Curtice. The results do seem to underline that Theresa May is reliant for the party's position disproportionately on Leave voters, he said, which will have an impact on her ability in the coming weeks and months to negotiate the Brexit deal and come up with one with which Conservative - and therefore Leave - voters are happy.

Labour peer and anti-Brexit campaigner Lord Adonis says the results show the party has lost momentum and should 'engage in the big battle of the day - stopping Brexit'.

Labour allowed expectations to get away, says Sir John Curtice. He says they have actually done relatively well in London, but the seats of Wandsworth and Westminster, which they had hoped to take, would have been very hard nuts to crack.

Electoral expert Professor Sir John Curtice says the Barnet result means Labour is going to go away empty handed in terms of winning control of London councils. Barnet had looked like a "relatively easy plum" for Labour, he tells the Today programme. The fact the Conservatives won it might fuel continued argument in Labour about what it does about anti-Semitism, because Barnet has the largest Jewish population in the UK, he says.

The Conservatives win control of Barnet Council, taking it back from no overall control, with three wards left to declare.

Outgoing Labour councillor Adam Langleben, who sits on the national executive committee of Jewish Labour, has tweeted an apparent reference to the party's anti-Semitism row after losing in Barnet's West Hendon.

The Tories maintain control of Swindon Borough Council with a majority of one seat.

The message from voters at the English local elections appears to be that they don't want big changes.

Hilary Benn says Labour is having a "very good night and a very good morning" in Leeds, where he's MP for the city's Central constituency, although full results are yet to be declared.

He admits it's a "mixed night" for his party across the country and says Labour "needs to win people's trust and confidence".

Asked whether Brexit had been an issue at the polls, he recalls speaking to a former UKIP voter on the doorstep who said he would vote Labour this time around because the EU referendum had been dealt with.

There's confirmation that the Conservatives have held on to Kensington & Chelsea, with the loss of just one seat to Labour.

Labour holds Greenwich with a decreased majority of 33.

BBC Radio Devon

Labour has held on to its large majority in Exeter, Devon.

The party won 10 of the 13 seats up for election, the same number as at the last election.

The Conservatives held two seats, in St Loye's and Topsham.

The Liberal Democrats, meanwhile, won the Duryard and St James ward.

According to Exeter City Council, the overall turnout for Exeter was 36%, down 3% on 2016.

Labour has held Brent with no increase in its 47 majority.

Image source, PA

The leader of Kensington and Chelsea Labour group has conceded the party will not take control of the council but claimed the Conservatives had been "humbled".

The Royal Borough of Kensington and Chelsea (RBKC) was thought to be a wildcard due to anger over the Grenfell fire tragedy last June, which killed 71.

There were 50 seats up for grabs across 18 wards in the borough, which has been held by the Tories since its creation in 1964.

Labour group leader Robert Atkinson said: "The Tories will still be in control but by a much smaller margin than last time. They've been humbled, finally."

Image source, PA

In a message to the Grenfell community, he said: "Please put your trust in the enlarged and invigorated Labour group.

"We have your interests at heart and we will continue to hold this lot to account."

He expected Labour councillors to be elected in the Chelsea Riverside ward in the south of the borough, where the party has no councillors.

But he later conceded that the seats had "slipped away" and the Tories retained all three.

The ward which contains the charred remains of Grenfell tower - Notting Dale - remained Labour as expected, with applause as Mr Atkinson and Judith Blakeman kept their seats.

In Brompton and Hans Town, the ward of former Tory leader Nicholas Paget-Brown, who stood down in the aftermath of the fire, three Conservative councillors won seats.

Counting in most of the remaining 59 council areas won't start until after lunch but a few boroughs are expected to declare before breakfast, for those of you who want to see through the entire night's proceedings.

They're still only half-way through the count in Labour target Barnet, according to BBC London's Tolu Adeoye. However, the party's hopes took a blow when it lost a seat in the Hale ward.

Elsewhere in London, further declarations are expected this morning in Conservative-held Bexley and Kensington & Chelsea. Results are due in Labour-controlled Brent, Croydon, Greenwich and Redbridge, and also in Havering, where a strong independent contingent means the authority is under no overall control.

For those of you who are really keen, there'll be a brief respite before the fun resumes with counts in areas including Gateshead and Great Yarmouth.

So far 13 London councils have declared.

Labour has held Barking, Camden, Ealing, Enfield, Hammersmith & Fulham, Merton, Southwark and Waltham Forest.

The Conservatives have held Hillingdon, Wandsworth and Westminster.

And the Lib Dems have gained Richmond from the Tories and held Sutton.

Currently the Tories have lost 51 seats, Labour has gained 32, Lib Dems have gained 15, the Greens are up four and other parties are up four as well.

Neither main party has been dominant in the local elections according to Sir John Curtice.