Labour loses control of Blaenau Gwent and Bridgend and loses its leader in Merthyr Tydfil
In 10 councils there is no party with a majority
Conservatives gain a majority in Monmouthshire and become largest party in Vale of Glamorgan and Denbighshire
Plaid Cymru increases its majority in Gwynedd and falls just short of taking Carmarthenshire
A minute's silence was held at the Ceredigion count in Aberaeron following the death of one of the candidates for this election.
Neil Flower, a Liberal Democrat candidate in Llandyfriog, near Newcastle Emlyn, died last week. The election for the seat was suspended.
Returning officer Bronwen Morgan has just confirmed that the election has been rescheduled for 8 June 2017.
BBC Wales' Gareth Evans tweets from the Monmouthshire count
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UKIP MEP and independent AM Nathan Gill is disappointed at the turnout in Merthyr Tydfil.
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Results from Wrexham...
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...and from Monmouthshire.
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Labour has lost a second seat in Wrexham to an independent.
Prof John Curtice says this was in a ward where the party won as much as 72% of the vote four years ago.
He adds that on the first two results for Wrexham council, it looks as though the elections there could prove to be difficult for the party.
On the other hand, so far the party has been managing to hang on to seats in nearby Flintshire.
BBC Wales' Sarah Easedale tweets from the Flintshire count:
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More than 870 local election candidates are not standing for any of the main parties.
BBC Wales' political correspondent Bethan Lewis explains:
BBC Wales' Gareth Evans awaits the result in Monmouthshire
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Labour's loss of Wrexham's Rhosnesni ward to an Independent is the party's first loss of the night anywhere in Britain.
Prof John Curtice of Strathclyde University said: "We will have to see whether this is a portent of results to come."
BBC Wales' Geraint Thomas is at the count in Newport
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The leader of Plaid Cymru has suggested there were questions over the accuracy of a major Welsh poll which put the Conservatives in the lead in Wales for the general election
On BBC One's Question Time, Leanne Wood said there were “big questions” over the “veracity” of the Cardiff University/YouGov poll, which was published last month.
In response, Prof Roger Scully of Cardiff University said: “We should always be cautious about interpreting results of just one poll.
“But the picture it showed is very consistent with what we have seen across all the Britain-wide polls.”
BBC Wales' Cemlyn Davies is at the count in Wrexham
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Leader of Swansea council Rob Stewart tells BBC Wales "anything above 37 would be a good result". He says feedback on the doorstep has been positive.
Labour currently holds 49 seats out of 72 in Swansea - where 37 seats are needed for a majority.
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Prof Roger Scully
Ceredigion's last council was Plaid-led, with no overall control
“Plaid did well last time - could it secure a majority here? If it could, it would be a great thing for Plaid and would suggest the party could challenge the area's parliamentary seat.
“But don’t forget, you have a Lib Dem Welsh leader here defending his seat in five weeks time.
“Can we see a Lib Dem comeback in Ceredigion?”
In Flintshire, Labour's David Wisinger has held his seat in Queensferry.
Sports halls across Wales are serving a different purpose tonight.
BBC Wales reporters are providing live coverage from all the counts.
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Cardiff
Prof Roger Scully
Cardiff council is another one to watch tonight. It's been controlled Labour since 2012, though the party's majority in the capital city has shrunk since then.
“There was a Labour majority here five years ago – the group here has been somewhat fractious to say the least since then.
“As with much of Wales, the twin questions are – how much ground are Labour losing and who are they losing it to?
“Labour is being challenged by different parties – the Tories, Lib Dems and Plaid Cymru - in different parts of the city.
“This council may show us how effective those parties are in challenging Labour.”
BBC Wales political correspondent Bethan Lewis explains that not every council is counting tonight.
Blaenau Gwent
Prof Roger Scully
Blaenau Gwent is another council to watch tonight.
The last council had a large Labour majority.
“This is a Valleys council that has traditionally been dominated by Labour.
“The key point here is that in 2012, three major opposition parties did not win any seats between them.
“In the wake of the EU referendum, is Labour dominance on the slide in the Valleys, and who would benefit?”