The backers hope the scheme will be a major boost for electric vehicles.
The Autolib system is intended to build on the success of the Velib bicycle-rental service, similar to that operating in many European cities.
A two-month pilot project will allow motorists to hire the battery-powered Bluecar for 30 minutes at a cost of four to eight euros.
Membership of the Autolib scheme will cost from 10 euros a day up to 144 euros a year.
The cars are being provided by entrepreneur Vincent Bollore and manufactured by the Italian designer Pininfarina, famous for sculpting Ferraris and Maseratis.
They will have a range of up to 250 km before a recharge, which will take about four hours. Read mroe at BBC