Leaders of the Unison trade union said waste, recycling and street cleaning workers in 14 council areas across the country had backed industrial action in a ballot.
Affected councils include Glasgow City Council, East Renfrewshire Council, North Lanarkshire Council and South Lanarkshire Council.
It comes amid a dispute over pay with the local government body Cosla, with other unions also having mandates for strikes.
Cosla leaders insisted the pay rise they had proposed for workers was a “strong offer” which was “at the limits of affordability” for local authorities.
It had proposed an 18-month deal which would give council staff a 2.2% uplift from April this year, with a further 2% hike in October.
But in the wake of the ballot, which comes after similar votes by members of the GMB and Unite trade unions, Unison called on Cosla to get back around the table.
David O’Connor, head of local government at Unison Scotland, said: “Council workers deserve a wage that reflects their essential roles.
“With over 95% of those voting saying they are ready to take industrial action, it demonstrates how they feel, not only about the pay offer, but how undervalued they are feeling generally.”
With the union balloting staff in schools next week, Mr O’Connor continued: “If they vote to strike, then schools will also be closing in September.
“Cosla and the Scottish Government have to understand the anger amongst local government workers. They feel let down. The only way they can get the government to listen is to threaten strike action.”
Colette Hunter, the chair of Unison Scotland’s local government committee, said: “This is a significant vote. Large parts of Scotland are weeks away from bins not being collected and rubbish piling up in the streets.
“Council staff are angry about the way they’ve been treated over the last decade.”
She continued: “No one wants to go on strike, it is always a last resort. But, local government workers have firmly rejected Cosla’s offer.
“They are simply asking for a pay deal that addresses below-inflation pay settlements. These have reduced the value of staff wages by a quarter over the past 14 years. Cosla needs to get back around the table with us.”
Earlier this month, leaders of the Unite union announced members at 16 of Scotland’s 32 councils have backed strike action in cleaning and waste services in a pay row – with the GMB confirming its members in 13 local authority areas had voted in favour of action.
A spokesperson for Cosla, which represents all 32 of Scotland’s councils, said: “Cosla has made a strong pay offer for Scotland’s Local Government workforce.
“This offer is at the limit of affordability within the very constrained financial circumstances facing councils.
“We are disappointed that strike action is being considered in some areas, and are concerned about the detrimental impact this disruption would have on our people and communities.
“Dialogue with our trade unions, who have been comprehensively briefed on the financial circumstances councils are facing, is ongoing. We remain committed to reaching a resolution as quickly as possible.”