73 candidates are standing - 13 for each of the Conservative, Labour and Liberal Democrat parties, 12 for the Green Party, nine for UKIP, and eight for the Trade Unionists and Socialists Against Cuts.
There are also three candidates standing for the An Independence From Europe party one from the BNP and one from the Unity party.
Voting's also taking place for the European parliament elections.
Polling stations close at 10pm.
Council fights unreleased Ofsted report
Authority still rated inadequate
£550,000 Christmas windfall for Brixham pool
'It's time to celebrate!'
Girl missing from Newton Abbot
Christeen Madge could be trying to go abroad
Exeter to bid for unitary status in major council shake-up
City's 'powerhouse' role key to county success
Bomb squad investigates suspicious car in Cranbrook
Homes not yet evacuated
