Unison, GMB and the T&G have all rejected the offer. Unison is holding out for either a 5% pay increase or an extra£5 a week, and plans to ballot its 90,000 members in Scotland's councils unless there is a breakthrough.
Unison Scottish local government organiser Joe Di Paola said: 'This miserly offer was emphatically rejected in the extensive consultations we carried out among the membership. It doesn't go any way to dealing with low pay in local government and doesn't even match the offer made by English councils.'
He warned a strike would cause disruption to services like environmental health, social work and education services.
She said this was the seventh year of self-financing pay awards, which meant councils had to fund them from savings.