The reported move follows a similar announcement earlier this month by the French government.
No-one was immediately available for comment at Britain’s environment ministry which was due to make the announcement on Wednesday, according to the reports including by the BBC.
The Times said the sale of new hybrid vehicles that have an electric motor combined with a petrol or diesel engine would also end under the plan.
The government has been under pressure to take measures to reduce air pollution after losing legal cases brought by campaign groups.
Under the proposals, local authorities would be able to charge levies on the drivers of the diesel vehicles on the most polluted roads from 2020, if air quality does not improve, the Daily Mail newspaper said.
Separately on Tuesday, German car maker BMW said it had chosen its plant in Oxford as the location to produce an electric Mini from 2019.
Earlier this month, Volvo became the first major traditional car maker to set a date for phasing out vehicles powered solely by the internal combustion engine by saying all its car models launched after 2019 will be electric or hybrids.
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