Starting as early as June 2012, the plan would be to cover the outside of the tower's structure with 600,000 plants which would then be able to grow for a period of four years.
The plants would add a total of 378 tonnes to the 327-metre tall structure.
As well as being a striking horticultural vision in the heart of the capital, the project has an ecological ambition with Le Figaro saying the carbon-neutral plan would make the tower "the lungs of Paris."
The €72 million ($96 million) plan is a joint initiative by the engineering group Ginger, construction company Vinci and the architect Claude Bucher.
Work has been going on for two years and a scaled-down prototype of the famous tower has been built in the capital's suburbs to test out the idea.
A timetable for the greening of the tower has been established. Plants would be grown at a separate location until June 2012. They would then be attached to the tower in bags, allowing them to continue growing.
Watering the plants would take place via a system of tubes running around the tower. The plants would be left to grow until being finally removed in 2016.