Library workers in the Cheshire West and Chester council area struck on Saturday of last week. They were set to walk out again this Saturday.
The Unison and GMB members are fighting cuts to conditions that are set to come into force on 1 April.
The council is introducing “flat” rates of pay, which means no extra pay for workers who do weekends, overtime or bank holidays.
It is also paying less for working nights and cutting workers’ car allowances by around £1,500.
Workers across the council are currently taking industrial action by refusing to use their own cars for work.
Unison branch secretary Teresa Connally said, “Now staff working anti-social hours, which have real additional costs, are facing a pay cut.
“For library staff it will be at least a 5 percent cut. For care staff it will be much more. This is on top of a three year pay freeze.”
Workers at Rochdale council in Greater Manchester have voted to strike against plans to slash their conditions.
The Unison members backed a strike by 67 percent.
The attacks include forcing workers to take six days of unpaid leave every year.
Bosses also want to cut sick pay and car allowances.