Some 200 jobs are to go from Swindon Borough Council as part of a drive towards greater efficiency.
The authority's 4,000 school employees and waste operations staff will not be affected and no services are expected to be at risk.
But bosses will look at axing vacant posts and reducing short-term contracts among the remaining 4,500 employees.
Chief executive Gavin Jones said he hoped the savings could be made on a voluntary basis.
"Like any well-run organisation, we have a duty to constantly challenge our costs and assess if we can do more with less," he said.
"We are obviously keen to minimise the effects on our staff and we believe that we can achieve these savings on a voluntary basis.
"We have provided a scheme to make this as attractive as possible to those who wish to consider it. We have also developed a talent management programme so that we can develop our workforce to their maximum potential."