Anne Hidalgo told France’s Journal du Dimanche newspaper she wanted only ultra low-emission vehicles on the capitals’ main thoroughfares.
She also suggested more pedestrian areas and a doubling of cycle lanes.
A partial car ban was imposed in March after the capital’s air quality was found to be one of the worst on record.
“I want diesel cars out of Paris by 2020,” Anne Hidalgo said.
“Today 60% of Parisians already do not have cars, compared with 40% in 2001. Things are changing quickly.”
Anne Hidalgo’s plans also include limits on the tourist buses that clog Paris streets, banning trucks from cutting through the city, and adding electric vans to the city’s car-sharing scheme.
She said there was a serious public health risk in the capital, with Parisians living on average six or seven months less than people not exposed to the same levels of pollution.
The plans will be discussed by the city council on December 9.
Some 84% of Paris residents see fighting pollution as a priority and 54% supported a diesel ban in the city by 2020, according a poll carried out for the Journal du Dimanche.
Research by the World Health Organization has shown that diesel engines, although more fuel efficient than petrol engines, produce more pollutants.
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