England's shire counties face the largest funding reductions following the government's announcement on Monday (13 December).
County councils face a reduction of -13.51% in 2011/12, according to an analysis by the Rural Services Network.
District councils face an even bigger reduction of -15.60% over the same period, the analysis reveals.
Metropolitan authorities will see funding reduced by -11.68% - close to the overall average of -11.70%.
In 2012/13, the biggest cuts are faced by district councils (-10.82%) compared to counties (-7.89%); unitaries and metropolitan authorities (both -7.57%).
Rural districts also come off worse when cuts are compared by rural/urban category. They face a -15.87% reduction compared to the -15.45% reduction faced by urban districts.
The full analysis by the Rural Services Network can be downloaded here (pdf file).
The Local Government Association described the finance settlement as the "toughest in living memory".
Some councils had seen the money they receive from the government reduced by -17% in the first year, said LGA chairman Margaret Eaton.
In total, councils faced a total funding shortfall of £6.5 billion over the next year.
"We have been clear that the level of spending reduction that councils are going to have to make goes way beyond anything that conventional efficiency drives, such as shared services, can achieve.
"We have to face the fact that this level of grant reduction will inevitably lead to cuts in services."
Baroness Eaton said the Government had recognised the impact cuts would have on areas of the country most reliant on the public sector.
But it still remained the case that cuts were frontloaded rather than spread evenly across the four years.
"Councils now face incredibly tough choices about the services they continue to provide and those they will have to cut.
"It comes at a time when councils are seeing cost pressures mounting on services such as adult social care, child protection, waste management and flood defence."