The Liberal Democrat was speaking in Richmond which the party had regained after eight years.

The turnout for Kingson-upon-Thames was 47.3% , returning officer Andrew Bessant has said.

For the 2014 election it was 43.2% which saw the Conservatives retaining the council.

• Rokhsana Fiaz (Lab) 53,214 (73.43%, +12.24%)
• Rahima Khan (C) 8,627 (11.90%, -6.25%)
• Gareth Evans (LD) 6,809 (9.40%, +7.11%)
• Chisala Kumalinga (CPA) 2,008 (2.77%, +0.66%)
• Daniel Oxley (DVP) 1,815 (2.50%)

Turnout: 35%

Labour's Philip Glanville elected on first count at Hackney.

• Damien Egan (Lab) 39,951 (54.30%, +3.53%)
• Ross Archer (Con) 9,790 (13.31%, +2.17%)
• John Coughlan (Green) 7,649 (10.40%, +0.39%)
• Chris Maines (LD) 6,065 (8.24%, -1.77%)
• Duwayne Brooks (Ind) 5,480 (7.45%, +7.45%)
• John Hamilton (PBF) 4,193 (5.70%, -2.63%)
• Will Donnelly (DVP) 445 (0.60%)

Turnout: 36.7%

Labour's Sir Steve Bullock previously held the role.

Labour's Damien Egan has been elected on first count at Lewisham.

Prime Minister Theresa May is speaking to activists in Wandsworth, south London, where the Conservatives have retained control of the council.

"Labour thought they could take control - this was one of their top targets and they threw everything at it, but they failed," she says.

She argues that people voted for their Conservatives because "they deliver great services for lower taxes".

However, she promises: "We won't take anything for granted."

Image source, EPA

The Prime Minster has tweeted her congratulations to some of the London boroughs which has seen success for the Conservatives.

Theresa May congratulated the Tories, external in Hillingdon for increasing their majority, which she described as a "testament to your record of delivering great local services."

She also congratulated councillors in Wandsworth, Westminster and Barnet for "a great result".

In a statement, Jeremy Corbyn said Labour had achieved "a solid set of results" and consolidated the advances made at last year's general election.

"In these elections we have won seats across England in places we have never held before.

"We won Plymouth from the Tories, who lost control of Trafford, their flagship northern council. And Labour has won even more council seats than at our high water mark of 2014."

He paid tribute to the "energy, talent and enthusiasm" of Labour members and supporters.

"In a sign of how worried they are about Labour's advance, the Tories talked up our chances to unrealistic levels, especially in London."

"The results show they're right to be worried - we came within a whisker of winning Wandsworth for the first time in over 40 years."

He said Labour was now "well-placed to fight and win the next general election.

Mayoral elections were held in four London boroughs although no results have been declared in any of them.

The boroughs which voted for mayors are:

• Hackney
• Lewisham
• Newham
• Tower Hamlets

Tower Hamlets is expected to be the first to declare a result.

Image source, London Councils

The interactive map showing which boroughs have gone to what parties can be found on the London Councils site here., external

Image source, PA

Tower Hamlets has said there has been an increase in the turnout for the mayoral election compared to the last by-election.

It said 41.96% had voted in the mayoral election compared to 37.73% in 2015.

Labour's John Biggs previously held the position.