The increase agreed by cabinet councillors at Lewes District Council equates to a rise of just under 4p a week.
For a Band D property, the 2023/24 increase would be £2.02 a year.
Councillor Zoe Nicholson, Deputy Leader of the Council and Cabinet Member for Finance and Assets, said: "It has been an extremely challenging year financially for us and councils across the country, some of whom are sadly facing bankruptcy, but through prudent management, identifying efficiencies and savings we have balanced the books and continue to invest in new facilities to make Lewes district an even better place to live.
"Alongside this, we have been doing all we can to help residents, particularly the most vulnerable in our communities, through the cost of living crisis and I am pleased we are looking at a very minimal rise in council tax next year."
10% of the Council Tax bill goes to the District Council, with East Sussex County Council receiving 71%.
The annual increase proposed by East Sussex County Council is 4.99%, which would see an increase of £80.51 for a Band D bill.