Devon County Council says it is still million of pounds short of money needed to maintain services, despite an above average government grant settlement. It received a 6.3% per cent increase, its highest for eight years.
The council received the largest local authority increase of any in the county, up by �24m to �409m.
But it says �19.5m of that is ring-fenced for schools and it is between �20m and �25m short of what it needs to maintain spending in other areas.
Amenities protected
Exeter MP Ben Bradshaw says the county's settlement is "welcome and generous" and there was no excuse for a large council tax increase.
Plymouth City Council is refusing to speculate on next year's council tax rises.
An extra �8m was announced for the city as part of the government's contribution to the council's budget. The 4% increase will bring its grant up to �204.4m
But Torbay Council says it is likely to go ahead with about 100 job losses following the government's provisional settlement.
Despite it getting an increase of 5.5%, bringing its grant up to �99m, the council says there will also be cuts to services and that council tax is likely to rise by about 5%.
But council leader Chris Harris said amenities which affected the tourism industry would be protected, such as public toilets and street cleaning.
Devon Fire Service has a 2.6% increase and the Devon and Cornwall Police Authority a 3.75% rise.