Members of the Unison union who work at Nottinghamshire County Council have voted to go on a one-day strike to oppose proposed cutbacks.
The union said it expected more than 3,000 members to take part in the strike on 24 February.
The council is proposing to cut more than 1,000 posts from a workforce of 12,000 and save £150m over three years.
A council spokesman said the strike will have some impact on services, but it would deal with all urgent cases.
A total of 630 people voted in favour of the strike action with 380 opposed.
Only non-teaching staff were balloted as the strike day falls during school holidays.
Councillor Andy Stewart of the Conservative-led council said the strike would probably not have any effect on the council's budget considerations.
The full council is expected to approve its controversial budget plans on that day.
"I have no doubt ... the budget will be approved. But the union has asked for urgent meetings and we will see what they have to say."
Martin Sleath from Unison said: "The county council is making a political choice to close day care centres, sell off elderly people's homes, and privatise services.
"It has £159m in cash reserves, yet plans to spend £60m on redundancies rather than on maintaining services."
The council said it had been forced into making tough choices by a large drop in money from central government.