It is hoped that shifting some of these charges onto bill payers could lead to more charging points being built in areas such as workplaces and parking lots.
Ofgem expects the cost to be relatively low, about £ 380 million over 17 years, which is about £ 22 million a year.
However, the plans are an initial indication of how efforts to overhaul national transport to reduce CO2 emissions could be paid for.
The rules would also apply to the cost of new grid connections for other purposes, such as heat pumps or factories that need more electricity. Both will be in greater demand as the country seeks to cut fossil fuels to meet its legally binding target of net zero carbon emissions. In consultation papers Ofgem says the current agreements could slow down these efforts.