Council leaders warned that the surcharge would unfairly target people who had remained in the same home for years and had seen its value rise without any corresponding increase in their income.
It said: “A home is the centre of family life, not an untapped tax stream.
“Our residents have often lived in the same home for decades. They have raised families there, built communities and lasting connections, and in many cases have seen the value of their homes rise even as their incomes have stayed flat or fallen.
“It is simply wrong to assume that everyone living in these homes is wealthy.”
The four leaders urged Mr Healey to pause the mansion tax rollout and rethink the scheme.
In recent weeks, there have been rumours that Andy Burnham may lower the mansion tax threshold to £1.5m, as he searches for ways to fund new policies.
Expanding the scope would drag an additional 137,000 homes across England into the tax net, according to analysis by estate agency Hamptons, bringing the total number of properties hit by the tax to more than 271,000.
