Convention president Norman Murray said councils had again had difficulties in setting budgets.
'While changes to the local government finance systems have been welcome, the detail of the settlement has forced councils into relatively high levels of increase in council tax,' he said.
'The major concern to local government is the amount of ring-fencing and central direction built into the settlement. These are now so great we have serious concerns about core services.'
Aberdeenshire Council, which is to increase its council tax by 10%, said: 'This is what happens when central grants are 91% allocated for specific services. It creates a serious problem.'