The Cornish nationlist party Mebyon Kernow has won two seats - in Callington and Penwithick & Boscoppa.
The Lib Dems and the Conservatives each have one a piece and Independent Joe Ellison has won a seat in Saltash North.
The Conservatives remain in control in Dorset despite some success for UKIP
ITV News elections analyst Professor Colin Rallings says Labour will make gains in the local elections, but there will be surprises too.
A ComRes Poll for The Coalition for Marriage released on Tuesday night suggested that UKIP could win a staggering 22% of the vote.