LGA leaders want an urgent meeting with local government minister Phil Woolas over the plight of nine councils threatened with capping.
LGA chairman Sandy Bruce-Lockhart said ministers should leave councils 'to make their own local decision about their budgets, based on what local people want.'
The Improvement & Development Agency has struck a deal to provide councils with mapping services, which it said would collectively save them£100m over four years.
But in order for this to go ahead, 70% of councils must sign up by 31 July.
The savings come from a comparison with what mapping services would cost each council to procure individually, an IDeA spokesman said.
Councils must do more to ensure people with learning disabilities have influence over the services that affect them.
That is the view of the Learning Disabilities Task Force, comprising people with learning disabilities, their families, carers and experts, in a report due for release yesterday.
According to the task force, councils send too many people with a learning disability away from home
for care. Members called for more local housing to be provided.