Polling stations opened their doors at 07:00 BST and will close at 22:00.
Votes are being cast in elections at Southampton and Portsmouth city councils, eight other district councils as well as for Hampshire's PCC.
Across England elections are taking place for more than 120 councils, and to elect 36 PCCs.
Voting has begun in police and crime commissioner (PCC) and local council elections in Hampshire and the Isle of Wight.