The union says the demands aim to protect services and jobs under the new Scottish local authority regime.
The maintenance of present council functions under the new authorities is top priority on the UNISON list, followed by a similar demand for staff.
The union also wants employment rights for all existing staff to be guaranteed under the European Union's Acquired Rights Directive.
In addition UNISON requested a five year moratorium on compulsory competitive tendering to allow local authorities to concentrate on service delivery during 'a period of upheaval and organisational change'.
UNISON's head of local government in Scotland Mark Irvine said the demands were the minimum necessary to allay fears among council staff over the future of their jobs.